NAME ____________________________________________ DATE _____________________________ PERIOD _____________
Practice 7.8(A)
SCORE __________
Model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases
and heights and connect that relationship to the formulas.
Multi-Step Example
Oliver used blocks to build a rectangular prism measuring 6 inches by 5 inches by 11 inches. Brett
built a rectangular pyramid with the same height as Oliver’s figure. If the bases are congruent, how
many times greater is the volume of Oliver’s figure?
6 • 5 • 11 = 330 cubic inches
!
!
• 6 • 5 • 11 = 110 cubic inches
Determine the volume of Oliver’s prism.
Determine the volume of Brett’s pyramid.
Divide to find the ratio of the volumes: 330 ÷ 110 = 3.
So, the volume of Oliver’s prism is 3 times greater than the volume of Brett’s pyramid.
1 Anne wants to have an ice sculpture at her wedding
reception. She would like to have a rectangular
pyramid on top of a rectangular prism. She wants each
figure to have a base of 40 square feet and a height of
3 feet. How much ice is needed to create the
sculpture?
3 What is the total volume, in cubic inches, of the
figures shown below?
A 40 ft !
B 80 ft !
Record your answer and fill in the bubbles on your
answer document. Be sure to use the correct place
value.
C 120 ft !
D 160 ft !
2 Sara molded a clay rectangular prism with the
measurements of 6.5 inches by 7 inches by 9 inches.
Sam molded a rectangular pyramid with a height of 9
inches, the same as Sara’s prism. If the bases of the
models are the same, what is the volume of Sam’s
model?
F 136.5 in!
G 273 in
4 Mandy has 9 rectangular pyramids that are filled with
rice. She wants to transfer the rice into storage
containers that are rectangular prisms that have the
same size base and height as the rectangular pyramids.
How many full storage containers can she fill and have
no rice left over?
A1
B3
!
H 409.5 in
J 546 in
C9
!
D 27
!
Course 2 • Expressions, Equations, and Relationships
TX85 NAME ____________________________________________ DATE _____________________________ PERIOD _____________
Practice 7.8(A) (continued)
5 Greta is selling containers of hard candy for a school
fundraiser. Each container has a base that is 20 square
inches and a height of 8 inches. Below are the prices
per box. Which box of candy is a better deal?
Container Type
Price ($)
Rectangular Prism
12.80
Rectangular Pyramid
6.54
F Rectangular Prism
SCORE __________
8 Melissa is making 6 candles in the shape of rectangular
prisms. Each prism has a base area of 15 square inches
and a height of 6 inches. She is also going to make 5
candles in the shape of rectangular pyramids with the
same base and height measurements as the prisms.
How much wax will she need to make all of her
candles?
F 90 in!
G 150 in!
G Rectangular Pyramid
H 540 in!
H The cost is the same per cubic inch.
J 690 in!
J There is not enough information.
9 How many times greater is the volume of the prism
than the volume of the pyramid?
6 Ella has a pink eraser that is shaped like a rectangular
prism with a base measuring 3 inches by 4 inches and
a height of 0.5 inch. Ronnie has an eraser in the shape
of a rectangular pyramid with a base measuring 6
inches by 2 inches and a height of 0.5 inch. Whose
eraser has a greater volume?
A Ella’s
A
!
!
!
B Ronnie’s
B
C Each volume is the same.
C2
D There is not enough information.
D3
7 Sneezie’s Tissues currently packages tissues in a box
shaped like a rectangular prism with length 9
centimeters, width 5 centimeters, and height 4
centimeters. The design team would like to change the
box to a rectangular pyramid with the same base and
height. How many times less will the volume be when
the box is changed?
Record your answer and fill in the bubbles on your
answer document. Be sure to use the correct place
value.
!
10 Rikki has 6 rectangular prisms that are filled with
water. He wants to transfer the water into cups that are
rectangular pyramids that have the same size base and
height as the rectangular prisms. How many cups can
he fill and have no water left over?
F2
G6
H9
J 18
TX86 Course 2 • Expressions, Equations, and Relationships
NAME ____________________________________________ DATE _____________________________ PERIOD _____________
Practice 7.8(A)
SCORE __________
Student Recording Sheet
Fill in the correct answer. For gridded-response questions, write your answers in the boxes on the answer grid and
fill in the bubbles to match your answers.
1
2
6
7
3
4
5
Course 2 • Expressions, Equations, and Relationships
8
9
10
TX87