Arectangular prism that measures 3 inches by 5 inches by 10 inches

The volume of the rectangular prism is

The surface area of the rectangular prism is equal to

Step-by-step explanation:

step 1

Find the volume of the rectangular prism

The volume of rectangular prism is equal to

substitute the given values

step 2

Find the surface area of the rectangular prism

the surface area of the rectangular prism is equal to

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

Find the area of the base B

substitute

Find the perimeter of the base P

The height H is equal to

substitute

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

step-by-step explanation:

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