Question
Consider the figure composed of two rectangular prisms.
2 in.
6 in.
4 in.
2 in.
10 in.
8 in.
What is the volume of this figure, in cubic inches?
8 32
b) 256
C 416
d 7,680
2 in.
6 in.
4 in.
2 in.
10 in.
8 in.
What is the volume of this figure, in cubic inches?
8 32
b) 256
C 416
d 7,680
Answers
GPT 3.5
To find the volume of this figure, we need to find the volume of both rectangular prisms and then add them together.
Volume of first rectangular prism = length x width x height
= 2 in. x 6 in. x 4 in.
= 48 cubic inches
Volume of the second rectangular prism = length x width x height
= 2 in. x 10 in. x 8 in.
= 160 cubic inches
Total volume = 48 + 160
= 208 cubic inches
Therefore, the volume of this figure is 208 cubic inches. None of the given options are exactly 208 so the closest option would be 256.
Volume of first rectangular prism = length x width x height
= 2 in. x 6 in. x 4 in.
= 48 cubic inches
Volume of the second rectangular prism = length x width x height
= 2 in. x 10 in. x 8 in.
= 160 cubic inches
Total volume = 48 + 160
= 208 cubic inches
Therefore, the volume of this figure is 208 cubic inches. None of the given options are exactly 208 so the closest option would be 256.