Surface Area Application

A square pyramid and a cube have the same total surface area. The length of each side of the base of the square pyramid is 12 meters. The width of the cube is 6 meters. What is the lateral height of the square pyramid?

Hint: Think about how to find surface area, then work backwards. Draw the nets, label the measurements you know.

(a)  

Tags

CCSS.7.G.B.6

A shoe box is covered with packing paper before being shipped. It measures 16 in x 10 in x 8 in. The paper costs $0.01 per square inch. How much will it cost to cover three shoe boxes?

• 160

• 736

• $22.08

• $7.36

Tags

CCSS.6.G.A.4

Jamie is going to paint four blocks in the shape of a cube for his sister's nursery. Each cube has a side length of 3.3 inches. How much paint will he need to cover all of the blocks?

• 261.36

• 65.34

• 19.8

• 4

Tags

CCSS.6.G.A.4

A net of a rectangular pyramid is shown. Which of the following statement(s) are true?

• I only

• I and II

• I and III

• I, II, and III

Tags

CCSS.6.G.A.4

What is the total surface area of the triangular prism shown?  (a)  

• 468 in2

• 540 in2

• 576 in2

• 700 in2

Tags

CCSS.7.G.B.6

Answer the following regarding the prism pictured:

Tags

8.7B

The total surface area of the rectangular prism is​​ ​ (a)   square centimeters and the lateral surface area is ​​ (b)   square centimeters.

• 556

• 476

• 576

• 456

Tags

CCSS.7.G.B.6

What is the lateral surface area of this triangular prism in square centimeters?

Mathematical Equivalence

ON

Tags

8.7.B

What is the surface area of a pyramid with a square base of side 6 cm and a slant height of 5 cm?

Tags

CCSS.7.G.B.6