The volume of a prism is the product of the base B and its height H:
V=BH

We are given that V=1279.152 cubic feet and H=25.2 ft so we can solve for B: \(\displaystyle{1279.152}={B}{\left({25.2}\right)}\)

B=(1279.152/25.2)ZSK

B=50.76ft^2ZSK

B is the area of the trapezoid base. The area of a trapezoid is given by: A=1/2(b1+b2)ZSKheight

where b1 and b2 are the base lengths and h is the height. So, we have: 50.76=1/2(4.1+10)hZSK

50.76=1/2(14.1)hZSK

50.76=7.05hZSK

h=50.76/7.05ZSK

h=7.2ft

We are given that V=1279.152 cubic feet and H=25.2 ft so we can solve for B: \(\displaystyle{1279.152}={B}{\left({25.2}\right)}\)

B=(1279.152/25.2)ZSK

B=50.76ft^2ZSK

B is the area of the trapezoid base. The area of a trapezoid is given by: A=1/2(b1+b2)ZSKheight

where b1 and b2 are the base lengths and h is the height. So, we have: 50.76=1/2(4.1+10)hZSK

50.76=1/2(14.1)hZSK

50.76=7.05hZSK

h=50.76/7.05ZSK

h=7.2ft