Name: _____________________________ Date: ____________ Period:__________
Measuring 3D Figures
1.)
2.)
3.)
Lilly’s parents filled her sandbox to only half the volume that it holds. What is the volume
of the sand in Lilly’s sandbox? (7.9A) (7.1G)
A.
1 yd3
B.
1.5 yd3
C.
3 yd3
D.
12 yd3
Al purchased a corner storage unit. The unit was shaped like a triangular prism, and the
bases were isosceles right triangles with the dimensions shown below. Which equation can
Al use to find the volume of his storage unit in cubic inches? (7.9A) (7.1G)
12∗12
)(36)
2
F.
V=(
G.
V = (18)(24)(36)
H.
V=(
J.
V = (24)(36)(36)
24∗24
)(36)
2
24 in
36 in
An artist makes a sculpture by filling a pyramid mold with concrete. The base is a 6 feet by
4 feet rectangle and the pyramid’s height is 4.5 feet tall. Concrete costs $2.79 per cubic
foot. What is the cost of the concrete? (7.9A) (7.1G)
A.
$24.00
B.
$27.00
C.
$12.90
D.
$100.44
4.)
5.)
6.)
Sicily is painting an equilateral triangular pyramid to include in her science project. She will
not be painting the bottom of the pyramid. What is the surface area Sicily will paint?
(7.9D) (7.1A)
F.
150 mm2
G.
300 mm2
H.
450 mm2
J.
600 mm2
Helen received flowers for Valentine’s Day and is placing them in a unique, triangular vase.
How much water does she need to fill the vase up half way? (7.9A) (7.1G)
A.
196 cm3
B.
392 cm3
C.
784 cm3
D.
Not enough information
Samantha was given a service award by the local police department. The award is shaped
like a square pyramid as shown in the figure below. The perpendicular height of the award
is 12 centimeters and the slant height is 13 centimeters. Which equation can Samantha
use to find the volume, in cubic centimeters, of her service award? (7.9A) (7.1G)
F.
V = (10)(10)(12)
G.
V = ( )(10)(10)(12)
H.
V = ( )(10)(10)(12)
J.
V = ( )(5)(10)(12)
1
2
1
3
1
3
7.)
8.)
9.)
The fish tank below will be filled only half way with water. Which expression can be used to
determine the volume of water in the fish tank? (7.9A) (7.1G)
12 ∙ 5 ∙ 5
A.
𝑉=
B.
𝑉 = 12 × 5
C.
𝑉 = 12 × 5 × 2
D.
𝑉 = 12 × 5 × 5
2
An eraser is shown below. What would be the surface area of TWO erasers? (7.9D) (7.1A)
F.
508 cm2
G.
514 cm2
H.
604 cm2
J.
628 cm2
How many rectangular pyramids would fit in a rectangular prism if their bases and heights
are the same? (7.8A) (7.1E)
A.
B.
C.
D.
0
1
2
3
10.) A package in the shape of a triangular pyramid has a base and lateral faces that are all
identical equilateral triangles. The side length of each triangle is 100 cm and the height of
each triangle is about 87 cm. What is the FIRST step in finding the volume of the pyramid?
(7.9A) (7.1G)
F.
Find the perimeter of the base by adding 100, 100, and 100.
G.
Find the area of the triangular base by multiplying 100 and 87.
H.
Find the area of the triangular base by multiplying 100 and 100, then dividing by 2.
J.
Find the area of the triangular base by multiplying 100 and 87, then dividing by 2.
11.) A store carries two different types of detergent. They are packaged in two different
rectangular boxes shown below. Which box has the smallest surface area and by how
much? (7.9D) (7.1A)
A.
Stain Out; 72 in2
B.
Stain Out; 432 in2
C.
Super Clean; 72 in2
D.
Super Clean; 432 in2
12.) Find the surface area of the net given below. (7.9D) (7.1A)
F.
75.44 cm2
G.
105 cm2
H.
114.7 cm2
J.
150.88 cm2
13.) A gift box has the shape of a triangular pyramid and is 6 inches tall. The base of the gift
box is a right triangle, with dimensions shown in the diagram below. What is the volume of
the gift box? (7.9A)
A. 12 in
3
B. 24 in3
C. 36 in3
D. 72 in3
14.) Joseph made a square pyramid using the net shown below. If Joseph wants to paint the
entire surface area of the square pyramid, he will need enough paint to cover the area of ---(7.9D)
F. 70 in3
G. 95 in
3
H. 165 in3
J. 190 in3
15.) The science museum has a terrarium in the shape of a triangular pyramid. The dimensions
of the terrarium are shown below. What is the volume of the terrarium? (7.9A)
A. 72 ft3
B. 288 ft3
C. 96 ft3
D. 144 ft3