Question

1)The base of a triangular prism is a right triangle with a base of 20 feet and a height of 120 inches. The height of the prism is 5 feet. What is the volume of the prism, in cubic feet? Enter your answer as a number, like this: 42 Do not enter any units.
2)Jake has a shipping box with the following dimensions.

length: 12 inches
width: 4 inches

height: 8 inches

Havana has a shipping box similar to Jake's box, but each dimension is half as long.

How many times larger is the volume of the Jake's box than Havana's box?

Answer 1

Answer:

(1)750 cubic feet

(2)8 Times

Step-by-step explanation:

Question 1

Dimensions of the Right Triangular Base

• Base = 20 feet
• Height= 120 inches = 10 feet

Base Area of the Prism

$=\dfrac12 \times 20 \times 10\\=150 square feet$

• Height of the Prism = 5 feet

Volume of the Prism = Base Area X Height

= 150 X 5

=750 cubic feet

Question 2

Jake's Box

• Length: 12 inches
• Width: 4 inches
• Height: 8 inches

Volume = 12 X 4 X 8 =384 cubic inches

Havana's box

Havana has a shipping box similar to Jake's box, but each dimension is half as long.

Therefore:

• Length: 12/2=6 inches
• Width: 4/2=2 inches
• Height: 8/2=4 inches

Volume = 6 X 2 X 4 =48 cubic inches

Now:

384/48=8

Therefore, the volume of Jake's box is 8 times larger than Havana's box.