Question

Amy carved this solid out of wood.
6in
2in
4in
2in
8in
7in
Find the volume of the solid.
in3

Answer 1

To find the volume of the solid Amy carved out of wood, we need to interpret the given dimensions. The dimensions seem to represent a composite solid, such as a block or a series of rectangular prisms.

Let's assume we are dealing with a rectangular prism and the dimensions given are the lengths of the edges. However, since we have 6 values, we might need to arrange them into dimensions of two or more prisms.

Let's consider if the solid can be divided or analyzed as rectangular prisms with the given dimensions:
1. **Rectangular prism 1:** with dimensions 6 in, 2 in, and 4 in.
\[
V_1 = \text{length} \times \text{width} \times \text{height} = 6 \, \text{in} \times 2 \, \text{in} \times 4 \, \text{in} = 48 \, \text{in}^3
\]

2. **Rectangular prism 2:** with dimensions 2 in, 8 in, and 7 in.
\[
V_2 = 2 \, \text{in} \times 8 \, \text{in} \times 7 \, \text{in} = 112 \, \text{in}^3
\]

Now we can find the total volume of the solid by adding the volumes of the two prisms:
\[
V_{\text{total}} = V_1 + V_2 = 48 \, \text{in}^3 + 112 \, \text{in}^3 = 160 \, \text{in}^3
\]

Thus, the volume of the solid is \( \boxed{160} \, \text{in}^3 \).