Question

What is the volume of this figure? Enter your answer in the box. ft³ Three-dimensional figure that could be formed by placing two rectangular prisms together to form an L shape where the wider part of the L is on the bottom and the L extends up from the left side. The wider part of the L has a length of 6 ft and a width of 2 ft and a height of 3 ft. The L extends up on the left side with the total height of the figure labeled 8 ft. The taller part of the L has a length of 4 ft and a width of 2 ft.

Answer 1

Explanation:

To calculate the volume of the given figure, we can find the volume of each rectangular prism and then add them together.

Volume of the wider part of the L:

Length = 6 ft

Width = 2 ft

Height = 3 ft

Volume = Length × Width × Height

Volume = 6 ft × 2 ft × 3 ft

Volume = 36 ft³

Volume of the taller part of the L:

Length = 4 ft

Width = 2 ft

Height = 8 ft (total height of the figure)

Volume = Length × Width × Height

Volume = 4 ft × 2 ft × 8 ft

Volume = 64 ft³

Now, we can find the total volume by adding the volumes of the two rectangular prisms:

Total Volume = Volume of wider part + Volume of taller part

Total Volume = 36 ft³ + 64 ft³

Total Volume = 100 ft³

Therefore, the volume of the given figure is 100 ft³.