Question

WILL GIVE BRAINLIEST Which expression represents the volume, in cubic units, of the composite figure?

Answer 1

Given:

Composite figure

To find:

The volume of the composite figure.

Solution:

The figure is splitted into two shapes.

One is rectangular pyramid and the other is  rectangular prism.

Rectangular pyramid:

Length = 8

Width = 6

Height = 10 - 4 = 6

Volume of rectangular pyramid = $\frac{1}{3} lbh$

Volume of rectangular pyramid $=\frac{1}{3} (8)(6)(6)$

Rectangular prism:

Length = 8

Width = 6

Height = 4

Volume of rectangular prism = length × width × height

                                                = 8 × 6 × 4

Volume of rectangular prism = (8)(6)(4)

Volume of figure = Volume of pyramid + volume of  prism

                           $=\frac{1}{3} (8)(6)(6)+(8)(6)(4)$

The volume of the composite figure is $\frac{1}{3} (8)(6)(6)+(8)(6)(4)$ cubic units.