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3 years ago

15

The width of a box is 12 cm. The length of the box is two times the width. The height is 10 cm longer than the length. What is t

he volume of the box? (V = lwh)
A) 3,528 cm3
B) 9,792 cm3
C) 120 cm3
D) 240 cm3

2 answers:

Nookie1986 [14]3 years ago

8 0

Answer:

V = 9,792 cm

Step-by-step explanation:

hope that i helped!

d1i1m1o1n [39]3 years ago

6 0

Answer:

B) 9792

24*12*34

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A structure which has a square base and four triangular sides meeting at a point is called pyramid.

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<u>It is assumed that weight of pyramid is proportional to its volume.</u>

So, $w = k V$ , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.

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Volume of original pyramid is, $V= \frac{1}{3} *A* 5$

So, weight of original pyramid, $W = k *(\frac{1}{3} *A* 5) = 800$

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So, weight of small pyramid, $w = k*(\frac{1}{3}* a* h)=400$

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So, $\frac{a}{A} = (\frac{h}{5}) ^{2}$

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Substituting value of a in equation $k*(\frac{1}{3}* a* h)=400$

So, $k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400$

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Since, $(k *\frac{1}{3} *A* 5) = 800$ , substitute in above equation.

So, $800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet$

Learn more:

brainly.com/question/17950304

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2 years ago

Read 2 more answers