Question

PLS PLS HELP

a trapezoidal prism has a volume of 1260 cm^3. the height of the prism is 18 cm while the bases of the trapezoid are 12 cm and 8cm. Sketch the prism and find the height of the trapezoidal base

Answer 1

Find area of base

• Volume/Height
• 1260/18
• 70cm²

Now

Height of trapezoid base be x

• 1/2(12+8)x=70
• 20x=140
• x=7cm

Answer 2

• 7 cm

Explanation:

Volume of the prism is the product of its base area and height

• V = AH
• V = 1260 cm³
• H = 18 cm

Find base area:

• A = 1260/18 = 70 cm²

Area of the trapezoid:

• A = 1/2(b₁ + b₂)h

Substitute given values and solve for h:

• 70 = 1/2(12 + 8)h
• 70 = 10h
• h = 70/10
• h = 7 cm