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Find the Surface Area and the Volume.

Find the Surface Area and the Volume.-example-1

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Answer:

Surface area = 850 cm²

Volume = 1000 cm³

Explanation:

Applying,

A = h(a+b+c+d)................ Equation 1

Where A = Surface area of the trapezoidal prism, a, b, c, d = length of the four sides the trapezium respectively, h = height of the prism.

From the diagram in the question,

Given: h = 25 cm, a = 6 cm, b = 14 cm, c = 7 cm, d = 7 cm

Substitute these values into equation 1

A = 25(6+14+7+7)

A = 25(34)

A = 850 cm²

From the volume,

V = A'h...................... Equation 2

Where A' = Area of the base.

From the diagram,

A' = 1/2(6+14)4

A' = 40 cm²

Therefore,

V = 40×25

V = 1000 cm³

User Amey
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