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dimulka [17.4K]
3 years ago
10

Which of the following can be used to find the volume of a rectangular prism with length 7.5 centimeters, width 2 centimeters, a

nd height 4.2 centimeters?
Select all the apply

A. V = 15 + 4.2

B. V = 15 x 4.2 x 4.2

C. V = 15 x 4.2

D. V = 7.5 x 2 x 4.2

E. V = (7.5 + 2) x 4.2
Mathematics
1 answer:
mart [117]3 years ago
8 0

Answer:

  • C. V = 15 x 4.2
  • D. V = 7.5 x 2 x 4.2

Step-by-step explanation:

The volume is the product of the three dimensions, so can be figured as ...

  7.5 × 2 × 4.2 . . . . choice D

Carrying out the first multiplication, this will be equivalent to ...

  15 × 4.2 . . . . . . . . choice C

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\huge \sf \color{pink}{A} \color{green}{N} \color{red}{S} \color{blue}{W} \color{orange}{E} \color{grey}{R}

\large \underline{  \boxed{ \sf{✰ \: Important \:  points  }}}

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\pink{➢}A surface of revolution formed by rotating a segment of a line around another line that intersects the first line.

\pink{➢}Cone is basically formed by circular base

\underline{  \boxed{ \sf{➫\: Volume\:of\:cone =  \frac{1}{3} {r}^{2} \pi \: h}}}

\underline{  \boxed{ \sf{ ➪ \: r = radius}}} \\\underline{  \boxed{ \sf{ ➪ \: h = height}}}

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\sf \:➩ r =  \frac{18}{2}  \\    \sf \: ➩r =  \cancel \frac{18}{2}  \\  \sf \: ➩r = 9 \:  \:  \:

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\sf \: → \frac{1}{3}  \times   {(9)}^{2}\times 3.14  \times20 \\  \sf→ \frac{1}{3}  \times 81 \times 3.14 \times 20 \\  \sf \: → \frac{1}{ \cancel3}  \times  \cancel{81} \times 3.14 \times 20 \\  \sf→27 \times 3.14 \times 20 \\ \sf \: →1695.6m

\pink{➢} Hence volume of cone =1695.6m

Hope it helps !

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