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vovangra [49]
3 years ago
13

ayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches?

A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches. Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height. Inches cubed
Mathematics
2 answers:
Lyrx [107]3 years ago
5 0

Answer:

  • 64 in³

Step-by-step explanation:

<u>Given dimensions:</u>

  • l = 8 in
  • w = 2 in
  • h = 4 in

<u>Volume of the prism is:</u>

  • V = lwh
  • V = 8*2*4 = 64 in³
Snezhnost [94]3 years ago
4 0

Answer:

64(in)^{3}

Step-by-step explanation:

The volume of a box is equal to the length l times the width w times the height h.

(lenght) \times (width) \times (height)

Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.

8 \times 2 \times 4

Multiply 8 by 2.

16 \times 4

Multiply 16 by 4.

64 {in}^{3}

Hence, the volume of the rectangle prism is 64(in)³.

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A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

V=(x-10)(y-10)5

V=930\ in^3

so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

x=y+25 ----> equation B

substitute equation B in equation A

186=(y+25-10)(y-10)

solve for y

186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

x=16+25=41

therefore

The original length was 41 inches and the original width was 16 inches

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3 years ago
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