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Question: A right rectangular prism has a length of 8 cm, a width of 4 cm, and a height of 6 cm. Find the volume and surface area of the prism.
Solution:
To find the volume of a right rectangular prism, you multiply its length, width, and height.
Volume = length × width × height
Volume = 8 cm × 4 cm × 6 cm
Volume = 192 cm³
To find the surface area of a right rectangular prism, you need to calculate the sum of the areas of its six faces.
Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(8 cm × 4 cm) + 2(8 cm × 6 cm) + 2(4 cm × 6 cm)
Surface Area = 64 cm² + 96 cm² + 48 cm²
Surface Area = 208 cm²
Therefore, the volume of the right rectangular prism is 192 cm³ and the surface area is 208 cm².
Right Rectangular Prisms & Pyramids find exam
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