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

A2,511.5 yd to the power of 3
B1,255.7 yd to the power of 3
C1,025.3 yd to the power of 3
D1,450.0 yd to the power of 3

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 th class=

Verified Answer :

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

1. 1,255.7 yd3

2. $70.58

3. 7 in

4. 54pi in.3

5. 944mm*3

Answer: Option 'B' is correct.

Step-by-step 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 \(=\frac{\sqrt{3}}{4}\times a^2\)

\(Volume=\text{Area of base}\times height\\\\Volume=\frac{\sqrt{3}}{4}\times 10\times 10\times 29\\\\Volume=1255.7\ yd^3\)

Hence, Option 'B' is correct.