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

A.

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

B.

The total surface area is multiplied by 4. The volume is multiplied by 16.

c.

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

D.

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

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.

Answer is c