Show that a rectangular prism with dimensions 4 × 6 × 12 has a surface area that is numerically equal to its volume.

Surface area of rectangular prism is = 2 ( l w + w h + h l ) = 2 × 4 × 6 + 6 × 12 + 12 × 4 = 2 × 24 + 72 + 48 = 2 × 144 = 288 u n i t s 2 Volume of rectangular prism is = l × b × h = 4 × 6 × 12 = 288 u n i t s 2 So, numerically the surface area and volume are equal

Show that a rectangular prism with dimensions 4 × 6 × 12 has a surface area that is numerically equal to its volume.

Surface area of rectangular prism is = 2 ( l w + w h + h l ) = 2 × 4 × 6 + 6 × 12 + 12 × 4 = 2 × 24 + 72 + 48 = 2 × 144 = 288 u n i t s 2 Volume of rectangular prism is = l × b × h = 4 × 6 × 12 = 288 u n i t s 2 So, numerically the surface area and volume are equal

E M B I B E

MYP Mathematics A concept-based approach 1>Chapter 7 - Perimeter, Area and Volume Environmental Impacts>Unit review>Q 11

MEDIUM

MYP:1

IMPORTANT

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Show that a rectangular prism with dimensions $4 \times 6 \times 12$ has a surface area that is numerically equal to its volume.

Important Questions on Perimeter, Area and Volume Environmental Impacts

EASY

MYP:1

IMPORTANT

MYP Mathematics A concept-based approach 1>Chapter 7 - Perimeter, Area and Volume Environmental Impacts>Unit review>Q 11

There are nine other rectangular prisms with whole number sides that have a surface area numerically equal to their volume, one of the cube . Find the dimensions of the cube and one of the other rectangular prisms.