Question

#1 What is the volume of a pyramid with base area B = 6 ft2 and height h = 13 ft?

  A. 26 ft3   B. 39 ft3   C. 52 ft3   D. 78 ft3

#2  The base of a square pyramid has a side length of 6 inches. The height of the pyramid is 12 inches. What is the volume of the pyramid?   A. 144 in3   B. 36 in3   C. 72 in3   D. 108 in3

Answer 1

#1 is A
#2 is also A
#3 is D
#4 is C
#5 is also C

Answer 2

1). Option A is correct.

2). option A is correct.

Explanation:

1).

Given : Area of Base = 6 ft.² and height, h = 13 ft.

Volume of pyramid =
`(1)/(3)* Base\:Area* height`

=
`(1)/(3)*6*13`

= 2 × 13 = 26 ft.³

Therefore, Option A is correct.

2).

Side of square of base = 6 inches.

Height of pyramid = 12 inches

Base Area = Area of Square

= side × side = 6 × 6 = 36 inches²

Volume of pyramid =
`(1)/(3)* Base\:Area* Height`

=
`(1)/(3)*36*12`

= 36 × 4 = 144 inches³

Therefore, Option A is correct.