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a rectangular crate has length 15 in, width 4 in, and height 10 in. find its volume as surface area.

Sagot :

Answer:

  • volume: 600 cubic inches
  • area: 500 square inches

Step-by-step explanation:

You want the volume and surface area of a rectangular crate that is 15 in long, 4 in wide, and 10 in high.

Volume

The volume is given by the formula ...

  V = LWH

For the given crate, the volume is ...

  V = (15 in)(4 in)(10 in) = 600 in³

Area

The area is given by the formula ...

  A = 2(LW +H(L +W))

For the given dimensions, the crate has an area of ...

  A = 2((15 in)(4 in) +(10 in)(15 in +4 in)) = 2(60 in² +(10 in)(19 in))

  = 2(60 in² +190 in²) = 500 in²

The crate's volume is 600 cubic inches; its area is 500 square inches.

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