Question

Find the volume of the given prism. round to the nearest tenth if necessary.

a) 2,511.5 yd to the power of 3
b) 1,255.7 yd to the power of 3
c) 1,025.3 yd to the power of 3
d) 1,450.0 yd to the power of 3

Answer 1

Volumes of prisms and Cylinders unit 6 lesson 4 quick check answers.

1. 1,255.7 yd*3

2. $70.58

3. 7 in

4. 54pi in.*3

5. 944mm*3

Answer 2

Answer: Option 'B' is correct.

Explanation:

Since we have given that

There is a prism having equilateral triangle as a base.

Height of prism = 29 yd

Length of base = 10 yd

As we know the formula for "Volume of prism"=Area of base × height

Here, Area of base = Area of equilateral triangle
`=(√(3))/(4)* a^2`

`Volume=\text{Area of base}* height\\\\Volume=(√(3))/(4)* 10* 10* 29\\\\Volume=1255.7\ yd^3`

Hence, Option 'B' is correct.