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|---|---|---|
Find the surface area of the triangular prism.
|
768 \mathrm{cm}^2
|
|
Find the surface area of the triangular prism.
|
528 \mathrm{cm}^2
|
|
Find the surface area of the trapezoidal prism.
|
338 \mathrm{cm}^2
|
|
Find the surface area of this prism.
|
534 \mathrm{cm}^2
|
|
Find the surface area of the trapezoidal prism.
Give your answer to the nearest one decimal place.
|
577.0 \mathrm{cm}^2
|
|
Find the total surface area of the triangular prism.
|
608 \mathrm{cm}^2
|
|
Find the surface area of the figure shown.
Give your answer to the nearest two decimal places.
|
200.49 \mathrm{cm}^2
|
|
Find the surface area of the figure shown. The two marked edges have the same length.
|
120 \mathrm{cm}^2
|
|
Find the surface area of the square pyramid.
Round your answer to one decimal place.
|
256.2 \mathrm{m}^2
|
|
Find the surface area of the cone shown.
Round your answer to two decimal places.
|
122.52 \mathrm{cm}^2
|
|
Find the surface area of the solid formed, correct to two decimal places.
|
91.11 \mathrm{cm}^2
|
|
Find the surface area of the pyramid.
Round your answer to two decimal places.
|
288.6 \mathrm{m}^2
|
|
Find the surface area of the cone given.
Give your answer correct to 2 decimal places.
|
651.82 \mathrm{cm}^2
|
|
Find the surface area of the prism shown. The marked edges are the same length.
Round your answer to two decimal places.
|
323.10 \mathrm{m}^2
|
|
Find the surface area of the figure shown, rounded to two decimal places.
|
520.55 \mathrm{cm}^2
|
|
Find the surface area of the solid.
Round your answer to two decimal places.
|
8128.50 \text { units }^2
|
|
Given the following square pyramid.
Find the volume of the square pyramid.
|
200 \mathrm{cm}^3
|
|
Consider the two similar spheres shown.
Find the volume of Sphere A, in simplest exact form.
|
36\pi \mathrm{cm}^3
|
|
Consider the two similar spheres shown.
What is the ratio of the volume of Sphere A to Sphere B?
|
1:64
|
|
Two similar cylinders as shown in the figure, find the fully simplified ratio of the volume of the larger cylinder to the volume of the smaller cylinder.
|
100
|
|
Consider the rectangular prism shown.
Write a fully expanded and simplified expression for the volume of the prism.
|
12x^2+144x+384 \mathrm{m}^3
|
|
A square pyramid is shown with the following dimensions.
Find an expression for L, in terms of the variable, x.
|
\frac{5\left(5x+7\right)}{2x+3} units
|
|
As shown in the figure, the cylindrical water tank is leaking at a constant rate of 3\pi x litres per second (where x is a fixed unknown). If the water tank was initially full, calculate the amount of water remaining after \left(2x+2\right)^2 seconds. Give your simplified answer in expanded form.
|
63\pi x^3+66\pi x^2+15\pi x litres
|
|
Consider the cube shown.
Find the polynomial that represents the volume of the cube.
|
$x^{3}+12 x^{2}+48 x+64$
|
|
Find the volume of the cylinder shown, rounding your answer to two decimal places.
|
Volume $=904.78 \mathrm{~cm}^{3}$
|
|
Find the volume of the prism shown.
|
$299 \mathrm{~cm}^{3}$
|
|
Calculate the volume of the rectangular prism in the figure.
|
$1690cm^2$
|
|
Each side length of the cube is equal. Find the volume of the cube shown.
|
$144cm^3$
|
|
Find the volume of the rectangular prism.
|
48 \mathrm{cm}^3
|
|
Find the volume of the triangular prism.
|
32 \mathrm{cm}^3
|
|
Find the volume of the prism.
|
32 \mathrm{cm}^3
|
|
Find the volume of the prism shown.
|
270 \mathrm{cm}^3
|
|
Find the volume of the prism.
|
399 \mathrm{cm}^3
|
|
The solid in the figure is constructed by 3 segments, 2 of segments are same cylinder on each side of the solid. Calculate the volume of the solid. Round your answer to one decimal place.
|
1608.5
|
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As the solid shown in the figure, the seven marked edges have the same length. Find the volume of the composite solid shown.
|
3136 \mathrm{cm}^3
|
|
Find the volume of the pyramid to one decimal place.
|
125.3 \mathrm{cm}^3
|
|
Find the exact volume of the right pyramid pictured.
|
\frac{847}{3} \mathrm{mm}^3
|
|
As shown in the figure, the solid is constructed by a cone and semi-sphere. Find the volume of the composite figure shown, correct to two decimal places.
|
169.65 \mathrm{cm}^3
|
|
A pyramid has been removed from a rectangular prism, as shown in the figure. Find the volume of this composite solid.
|
720 \mathrm{cm}^3
|
|
Find the h mm of this closed cylinder if its surface area (S) is 27288 mm$^2$.
Round your answer to the nearest whole number.
|
58
|
|
A cylinder has a surface area of 54105 mm$^2$.
What must the h mm of the cylinder be?
Round your answer to the nearest whole number.
|
30
|
|
A wedding cake consists of three cylinders stacked on top of each other. The middle layer has a radius double of the top layer, and the bottom layer has a radius three times as big.
All the sides and top surfaces are to be covered in icing, but not the bottom.
What is the surface area of the cake that needs to be iced?
Give your answer to the nearest cm2.
|
33929 \mathrm{cm}^2
|
|
A square pyramid is shown with the following dimensions.
Find an expression for the length L of the base of the pyramid in terms of the variable, x.
|
24 units
|
|
Calculate the radius of the sphere shown in figure with the volume of the cylinder 13.75\pi cm$^3$.
|
3
|
|
Find L. Give your answer rounded down to the nearest cm.
|
14
|
|
Consider the triangular prism below. EX and XF have same length.
Find the length of CX correct to two decimal places.
|
15.81
|
|
All edges of the following cube have the same length.
Find the exact length of AG in simplest surd form.
|
\sqrt{147}
|
|
The following is a right pyramid on a square base. A right pyramid has its apex aligned directly above the centre of its base.
Use your answer from part (a) to find the length of VW, the perpendicular height of the pyramid correct to two decimal places.
|
23.41
|
|
A rectangular prism has dimensions as labelled on the diagram.
Find the length of AG. Leave your answer in surd form.
|
\sqrt{122}
|
|
Consider the following figure.
Use Pythagoras' Theorem to find the unknown height $x$ in the triangular prism shown.
|
$x=8 \mathrm{~cm}$
|
|
In the cylindrical tube shown above, the circumference of the circular base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a rectangle, what is the length of $\overline{A C}$ to the nearest whole number?
Choices:
A:24
B:30
C:34
D:38
|
C
|
|
The figure above shows a triangular prism. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6
|
A
|
|
In the figure shown above, if all the water in the rectangular container is poured into the cylinder, the water level rises from $h$ inches to $(h+x)$ inches. Which of the following is the best approximation of the value of $x$ ?
Choices:
A:3
B:3.4
C:3.8
D:4.2
|
D
|
|
In the figure above, what is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130
|
C
|
|
What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72)
|
A
|
|
What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13
|
E
|
|
In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168
|
C
|
|
In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. What is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.75*\degree
|
D
|
|
In the figure above. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85
|
A
|
|
Lines AB and AC are tangent to the circle. If M is the midpoint of segment AC and the measure of angle PMC equals the measure of angle MPC, what is the length, in terms of r, of segment PA?
Choices:
A.r + 1
B.2*r
C.r*\sqrt{2}
D.r*\sqrt{3}
E.r*\sqrt{5}
|
E
|
|
In the triangle above, which of the following must be true?
Choices:
A.p=r
B.p<r
C.p>r
D.p=4
E.p>4
|
C
|
|
In the figure above if the area of triangle CAF is equal to the area of rectangle CDEF, what is the length of segment AD?
Choices:
A.7/2
B.5
C.7
D.15/2
E.15
|
C
|
|
In the figure above, the radii of four circles are 1, 2, 3, and 4, respectively. What is the ratio of the area of the small shaded ring to the area of the large shaded ring?
Choices:
A.1:2
B.1:4
C.3:5
D.3:7
E.5:7
|
D
|
|
If the perimeter of the rectangle above is 72, what is the value of x?
Choices:
A.9
B.15
C.18
D.21
E.36
|
C
|
|
In the figure above, PQRS is a rectangle. The area of triangle RST is 7 and PT=2/5*PS. What is the area of PQRS?
|
23
|
|
In the figure above. If 55 < x < 60, what is one possible value of y ?
|
123
|
|
In rectangle ABDF above, C and E are midpoints of sides BD and DF, respectively. What fraction of the area of the rectangle is shaded?
|
0
|
|
In rectangle ABCD above, the area of the shaded region is given by \\pi*l*w/4. If the area of the shaded region is 7*\\pi, what is the total area, to the nearest whole number, of the unshaded regions of rectangle ABCD ?
Choices:
A.4
B.6
C.8
D.9
E.10
|
B
|
|
What fraction of the area of the figure is shaded?
Choices:
A.3/8
B.1/4
C.1/8
D.1/10
E.1/16
|
B
|
|
In the figure above, the seven small circles have equal radii. The area of the shaded portion is how many times the area of one of the small circles?
|
1
|
|
In the figure above, AC = BC. What is the area of \u0001triangle ABC?
|
49
|
|
In the figure above, lines l and m are not parallel. Which of the following cannot be the value of x?
Choices:
A.89
B.90
C.91
D.92
E.93
|
B
|
|
In the figure above. What is the value of x?
Choices:
A.15
B.20
C.25
D.40
E.65
|
A
|
|
In the figure above, what is the value of x?
Choices:
A.72
B.70
C.68
D.66
E.64
|
A
|
|
The perimeter of the rectangle above is p and the area of the rectangle is 36. If l and w are integers, what is one possible value of p?
|
24
|
|
In the figure above, if the angle (not shown) where lines n and p intersect is twice as large as the angle (also not shown) where lines l and m intersect, what is the value of x?
|
50
|
|
In the figure above. What is the value of z?
Choices:
A.80
B.60
C.50
D.40
E.10
|
A
|
|
In the figure above. If AB = AO, what is the degree measure of angle ABO?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.90*\degree
|
D
|
|
In the figure above, what is the value of x?
Choices:
A.45
B.50
C.65
D.75
E.It cannot be determined from the information given
|
C
|
|
In triangle ABC above, and D is the midpoint of AC. What is the length of BC?
Choices:
A.3*\sqrt{3}
B.4*\sqrt{2}
C.4*\sqrt{3}
D.6*\sqrt{2}
E.5*\sqrt{3}
|
A
|
|
In the figure above, CDE is an equilateral triangle and ABCE is a square with an area of 1. What is the perimeter of polygon ABCDE?
Choices:
A.4
B.5
C.6
D.7
E.8
|
B
|
|
In triangle ABC above, AB = AC, E is the midpoint of line AB, and D is the midpoint of line AC. If AE = x, what is length BC?
Choices:
A.6
B.8
C.2*x
D.4*x
E.4*x^2
|
B
|
|
What is the value of z?
Choices:
A.60
B.70
C.80
D.90
E.100
|
B
|
|
If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?
Choices:
A.10
B.8
C.6
D.4
E.2
|
D
|
|
In the figure above, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper. If x + y = 80, how many sides does the polygon have?
Choices:
A.Ten
B.Nine
C.Eight
D.Seven
E.Six
|
B
|
|
In the figure above. What is the radius of the smaller circle?
Choices:
A.1
B.2
C.4
D.8
E.16
|
B
|
|
In the figure above, the smaller circles are tangent to the larger circle at points A and C, and are tangent to each other at point B. What is the perimeter of the shaded region?
Choices:
A.6*\pi
B.8*\pi
C.9*\pi
D.12*\pi
E.15*\pi
|
D
|
|
In the diagram above, angle A is congruent to angle BED, and angle C is congruent to angle D. If the ratio of the length of AB to the length of EB is 5:1, and the area of the triangle BED is 5*a^2 + 10, what is the area of triangle ABC?
Choices:
A.5*a^2 + 10
B.25*a^2 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined
|
D
|
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