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Find the volume & surface area of the prism.

Find the volume & \& surface area of the prism.

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Full solution

Q. Find the volume & \& surface area of the prism.
  1. Identify Shape and Dimensions: Step 11: Identify the shape and dimensions of the prism. Assuming the prism is a rectangular prism with length ll, width ww, and height hh. We need these dimensions to proceed.
  2. Calculate Volume: Step 22: Calculate the volume of the prism.\newlineVolume formula for a rectangular prism is V=l×w×hV = l \times w \times h.\newlineLet's say l=8 cml = 8\,\text{cm}, w=5 cmw = 5\,\text{cm}, and h=3 cmh = 3\,\text{cm}.\newlineV=8×5×3=120 cm3V = 8 \times 5 \times 3 = 120\,\text{cm}^3.
  3. Calculate Surface Area: Step 33: Calculate the surface area of the prism.\newlineSurface area formula for a rectangular prism is SA=2(lw+lh+wh)SA = 2(lw + lh + wh).\newlineSA=2((8×5)+(8×3)+(5×3))=2(40+24+15)=2×79=158 cm2SA = 2((8\times5) + (8\times3) + (5\times3)) = 2(40 + 24 + 15) = 2\times79 = 158 \text{ cm}^2.

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