FAST Math Grade 6 study materials
FAST Math Grade 6 study resources

A rectangular prism has faces and interior space

FAST Math Grade 6 · Put your knowledge to work in context.

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A rectangular prism has faces and interior space

An ideal closed rectangular storage box has dimensions five centimeters by three centimeters by four centimeters. A learner multiplies all three dimensions and reports the result as the area of material needed to cover the outside. Another adds only three face areas and forgets the opposite faces. A third distinguishes the box’s interior volume from its total exterior surface area. The task asks for both quantities with units and an explanation of why the calculations differ. The model supplies a closed box, no overlap, no thickness and no cutting allowance. It is not a real manufacturing plan, so those missing practical quantities should not be invented. A correct answer identifies the corresponding faces and keeps square and cubic units separate.

1. Find the volume and surface area.

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Volume is 5×3×4=60 cubic centimeters. Surface area is 2(5×3+5×4+3×4)=2(15+20+12)=94 square centimeters. All six faces are counted.

2. Why is 60 not a surface area here?

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It comes from multiplying three lengths and measures cubic space. Covering the exterior requires face areas in square units; a numerically familiar product does not answer a different quantity.