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3 years ago

If all dimensions of a rectangular prism are multiplied by 4. which statement is true?

Mathematics

2 answers:

Likurg_2 [28]3 years ago

7 0

Answer:

C. The total surface area is multiplied by 16. The volume is multiplied by 64.

Step-by-step explanation:

The volume of a rectangular prism is V = Base area × Height

Volume = Length × Breadth × Height

Surface area of a prism = A=2(wl+hl+hw)

l is the length

w is the width

h is the height

If all the dimensions are multiplied by 4;

Volume = 4L×4W×4H

New Volume = 64LWH

View volume = 64× Original volume.

New Surface area =2(16WL + 16HL +16HW)

New surface area = 2(16){WL+HL+HW}

New surface are = 16×2(WL+HL+HW)

New surface area = 16×original surface area.

The right answer is therefore;

The total surface area is multiplied by 16. The volume is multiplied by 64.

Arada [10]3 years ago

7 0

Answer:

Answer is c

Step-by-step explanation:

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<u>ANSWER</u>

$B=63\degree$

<u>EXPLANATION</u>

We want to solve the trigonometric equation;

$tan^2(B)=4$ , where $0\degree \le B \le 90\degree$ .

Taking square root of both sides gives,

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