The rectangular prism shows a length of 5 cm and a height of 3 cm and a width of 4 cm what is the surface area of the prism

94 cm²

Step-by-step explanation:

The surface area of a rectangular prism is found by finding the surface area of each of the rectangular faces and adding them together.

l = length = 5 cm

w = width = 4 cm

h = height = 3 cm

SA = 2(lw) + 2(lh) + 2(wh)

SA = 2(5*4) + 2(5*3) + 2(4*3)

SA = 2(20) + 2(15) + 2(12)

SA = 40 + 30 + 24

SA = 70 + 24

SA = 94

The total surface area of the prism is 94 cm²

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

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