Question

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

Answer 1

Answer:

Volume of the shaded space = 4480.0 yd³

Step-by-step 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 = $\frac{1}{3}(\text{Area of the base})(\text{Height})$

                                = $\frac{1}{3}(28\times 12)(20)$

                                = 2240 yd³

Volume of the shaded space = 6720 - 2240

                                                  = 4480.0 yd³