Subjects geometry

Volume Rectangular Prisms 05975B

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1. **State the problem:** We need to find the volume of the red book (bottom prism) and then find the total volume of both prisms stacked together. 2. **Recall the formula for volume of a rectangular prism:** $$\text{Volume} = \text{length} \times \text{width} \times \text{height}$$ 3. **Calculate the volume of the red book:** Given dimensions: length = 10 in, width = 8 in, height = 2 in. $$\text{Volume}_{red} = 10 \times 8 \times 2 = 160 \text{ in}^3$$ 4. **Calculate the volume of the top prism (brown book):** Given dimensions: length = 5 in, width = 3 in, height = 4 in. $$\text{Volume}_{brown} = 5 \times 3 \times 4 = 60 \text{ in}^3$$ 5. **Calculate the total volume:** $$\text{Total Volume} = \text{Volume}_{red} + \text{Volume}_{brown} = 160 + 60 = 220 \text{ in}^3$$ **Final answers:** - Volume of red book = $160$ in$^3$ - Total volume = $220$ in$^3$