Question

Please Help - Find the Volume

I know the answer is 1982.0 ft³. However, I don't know how to get to that answer. I keep getting 2112ft³. ​

Answer 1

1,982 ft³

Explanation:

Solving

Volume of rectangular prism (below)

• lbh
• 12 x 12 x 12
• 144 x 12
• 1728 ft³

Volume of square pyramid

• 1/3Bh
• 1/3 x 144 x √28
• 48 x 5.29
• 253.92

Total Volume : 1728 + 253.92 = 1,981.92 ft³ ≅ 1,982 ft³

Answer 2

1982 ft^3 ( rounded)

Explanation:

The cube bottom is 12 x 12 x 12 = 1728

The pyramid top is 1/3 ( 12*12) * sqrt 28 = 253.99

added together = ~ 1982

( you have to use the HEIGHT of the pyramid for the volume calculation V = 1/3 * base area * height height = sqrt (28) )