Home
Class 14
MATHS
The height of a right prism with a squar...

The height of a right prism with a square base is 15 cm. If the area of the total surface of the prism is 608 sq. cm, its volume is

A

`910cm^(3)`

B

`920cm^(3)`

C

`960cm^(3)`

D

`980cm^(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Let the side of square base =acm
`implies2a^(2)+4axxh=608`
`implies2a^(2)+4axx15=608`
`impliesa^(2)+30a=304`
`impliesa^(2)+38a-8a-304=0`
`impliesa(a+38)=8a-304=0`
`impliesa(a+38)-8(a+38)=0`
`impliesa=-38,8`
`impliesa=8cm`
`:.` volume of prism `=8xx8xx8=960cm^(3)`
Promotional Banner

Similar Questions

Explore conceptually related problems

The height of a right prism with a square base is 15cm. If the area of the total surfaces of the prism is 608 sq.cm its volume is

The base of a right prism, whose height is 2 cm, is a square. If the total surface area of the prism is 10 cm^(2) , then its volume is :

The base of a right prism is an equilateral triangle of edge 12 m. If the volume of the volume of the prism is 288sqrt(3) m^(3) , then its height is ________.

The base of a right prism is a square having side of 10 cm. If its height is 8 cm , then find the total surface area and volume of the prism .

The base of a right prism is a right-angled triangle whose sides are 5 cm, 12 cm and 13 cm. If the area of the total surface the prism is 360 cm^(2) , then its height (in cm) is

A right prism has a triangular base whose sides are 13 cm, 20 cm and 21 cm. If the altitude of the prism is 9 cm, then its volume is

The height of a cylinder is 15 cm. The lateral surface area is 660 square cm. Its volume is,

The base of a right prism is a square of perimeter 20 cm and its height is 30 cm. What is the volume of the prism?

The base of a right prism is a right angled isosceles triangle whose hypotenuse is a cm. If the height of the prism is h cm, then its volume is

The area of the base of a right equilateral triangular prism is 16sqrt(3) cm^(2) . If the height of the prism is 12 cm, then the lateral surface area and the total surface area of the prism respectively are