Answer:
[tex]11098{cm}^{3} [/tex]
Step-by-step explanation:
The formula to find the volume of a rectangular prism is
[tex]v = length \times \: width \times height[/tex]
Since there are 2 shapes we are going to find the volume of each of them, then add them to find the volume of the entire shape.
The length of the rectangle that is standing is 62 cm, its width is 3 cm and its height is 13 cm. Therefore the volume is:
[tex]v = l \times w \times h \\ v = 62 \times 3 \times 13 = 2418 {cm}^{3} [/tex]
On the other hand, the length of the rectangle that is lying down is 62 cm, its width is 20 cm (23-3=20), and the height is 7 cm. Therefore the volume is:
[tex]v = l \times w \times h \\ v = 62 \times 20 \times 7 = 8680 {cm}^{3} [/tex]
The volume of the entire shape would then be:
[tex]2418 {cm}^{3} + 8680 {cm}^{3} = 11098 {cm}^{3} [/tex]
