Subjects geometry

Rectangular Prism 372736

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Question: find the volume and surface area of the right rectangular prism with dimensions $8$ ft, $2$ ft, and $2$ ft
1. **State the problem:** We need to find the volume and surface area of a right rectangular prism with length $8$ ft, width $2$ ft, and height $2$ ft. 2. **Formulas:** - Volume of a rectangular prism: $$V = l \times w \times h$$ - Surface area of a rectangular prism: $$SA = 2(lw + lh + wh)$$ 3. **Calculate the volume:** $$V = 8 \times 2 \times 2 = 32$$ cubic feet. 4. **Calculate the surface area:** $$SA = 2(8 \times 2 + 8 \times 2 + 2 \times 2)$$ $$SA = 2(16 + 16 + 4)$$ $$SA = 2(36) = 72$$ square feet. 5. **Final answers:** - Volume = $32$ cubic feet - Surface area = $72$ square feet
8 ft2 ft2 ft