Question

A triangular prism has a base length of 1.5 centimeters, a base height of 3 centimeters, and a height of 12 centimeters.

Question 1
Part A

Find the volume of the prism.

Enter the correct answer in the box.

Answer 1

Part A: 108

Part B: 24.

Explanation:

Explanation: The formula for volume of a prism is V=Bh. (B is base area and H is height). The information doesn't provide base area so you need to find base area. The formula for base area is 1/2 x base side x height, so 1/2 x 1.5 x 12 = 9. (This is the formula for triangular prism.) Now do the volume formula; 9 x 12 = 108. Now for part B: Divide the volume by the base area. 108 / 4 1/2 = 24. So the answer for A is 108 and for B it's 24. Check your answer: 4 1/2 x 24 = 108.

Sorry if it's wrong. Have a good day!

Answer 2

V=
`27 cm^(3) \\`

Explanation:

`Area -of-triangle=(1)/(2) * base* height=0.5*1.5* 3=2.25cm^(2) \\Vol=Area* height= 2.25* 12=27 cm^(3) \\`