Calculate the volume of the shaded space. Round to the nearest tenth, if necessary.

Question

asked May 3, 2022 103k views

1 Answer

Jayanth Ramachandran · Answer 1 · 2022-05-08T14:57:13+0000

Answer:

Volume of the shaded space = 4480.0 yd³

Explanation:

Volume of the shaded space = Volume of cuboid - Volume of Pyramid placed inside

Volume of cuboid = Length × Width × Height

= 28 × 12 × 20

= 6720 yd³

Volume of pyramid =
$(1)/(3)(\text{Area of the base})(\text{Height})$

=
(1)/(3)(28* 12)(20)

= 2240 yd³

Volume of the shaded space = 6720 - 2240

= 4480.0 yd³