Question

Which expressions can be added to find the volume of the solid figure?

Select all that apply.

A solid shape is made up of 2 attached rectangular prisms. First rectangular prism has a length of 3 m, height of 1 m, and width of 4 m. Second rectangular has a length of 3 m, height of 7 m, and width of 4 m. The total length of the shape is 6 meters.

A.
4
×
3
×
7
4
×
3
×
7
and
1
×
3
×
4
1
×
3
×
4
B.
4
×
6
×
7
4
×
6
×
7
and
1
×
3
×
3
1
×
3
×
3
C.
1
×
4
×
7
1
×
4
×
7
and
4
×
3
×
6
4
×
3
×
6
D.
4
×
6
×
1
4
×
6
×
1
and
6
×
4
×
3
6
×
4
×
3
E.
4
×
6
×
3
4
×
6
×
3
and
7
×
3
×
3

Answer 1

the expressions that can be added to find the volume of the solid figure are 4 x 3 x 7 and 1 x 3 x 4, or 4 x 6 x 7 and 1 x 3 x 3.

Explanation:

These are the expressions that can be added to find the volume of the solid figure.

To calculate the volume of the solid figure, we need to find the sum of the volumes of the two rectangular prisms that make it up. We can calculate the volume of each prism by multiplying its length, height, and width, and then add the two volumes together.

For the first prism, the volume is:

4 x 3 x 1 = 12 cubic meters

For the second prism, the volume is:

4 x 3 x 7 = 84 cubic meters

Adding the volumes together, we get:

12 + 84 = 96 cubic meters

Therefore, the expressions that can be added to find the volume of the solid figure are 4 x 3 x 7 and 1 x 3 x 4, or 4 x 6 x 7 and 1 x 3 x 3.