SOLUTION: Calculate the exact volume of a square prism if the diagonal of the square face is 5 cm and the height is 2sqr2.
Thanks
Algebra.Com
Question 1060112: Calculate the exact volume of a square prism if the diagonal of the square face is 5 cm and the height is 2sqr2.
Thanks
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
side length = 5/sqrt(2) cm = 5sqrt(2)/2 cm
volume = (5sqrt(2)/2)^2 * (2sqrt(2)) = 25/2 * 2sqrt(2) = 25sqrt(2) cm^3
RELATED QUESTIONS
The area of one face of a certain prism is x^2 – 9 square cm. If its volume is x^6 – 729... (answered by josgarithmetic)
The base face of a prism is a regular hexagon. The height of the prism is 25 cm and the... (answered by ikleyn)
The diagonal of a square is 42.5 cm. Calculate the perimetre and area of the... (answered by nerdybill,alicealc)
A rectangular prism has a height of 12 cm and a square base with sides measuring 5 cm. A... (answered by KMST)
Four identical pieces are cut off the sides of a cylinder, as shown. The remaining shape... (answered by greenestamps)
What is the height of a prism if the floor space is 1200 m square and the volume 3000... (answered by ewatrrr)
The volume of a square prism is 275 cubic cm. The area of the base of the prism is 25 sq... (answered by solver91311)
calculate the volume of a square-based prism with a base length of 2x+1, and a height of... (answered by tommyt3rd)
The diagonal of a square is 42.5 cm . Calculate the perimeter and the area of the square (answered by macston)