ExamVeda
Login
Home

The height of a right prism with a square base is...

This question belongs to Arithmetic Ability Mensuration 3D
Mensuration 3D
?

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

Answer & Solution
Correct Answer: Option C
Let the side of square base = a cm
⇒ 2a2 + 4a × h = 608
⇒ 2a2 + 4a × 15 = 608
⇒ a2 + 30a = 304
⇒ a2 + 38a - 8a - 304 = 0
⇒ a(a + 38) - 8(a + 38) = 0
⇒ a = -38, 8
⇒ a = 8 cm
∴ Volume of prism = 8 × 8 × 15 = 960 cm3
Examveda
Question posted by Examveda
Community

Join the Discussion

No comments yet Be the first to discuss this question.
Keep Learning

Related Questions on Mensuration 3D

The radius and height of a right circular cone are in the ratio 3 : 4. If its curved surface area (in cm2) is 240π. Then its volume (in cm3) is:
A. 2304π B. 384π C. 1536π D. 768π
A cylindrical pencil of diameter 1.2 cm has one of its end sharpened into a conical shape of height 1.4 cm. The volume of the material removed is
A. 1.057 cm3 B. 4.224 cm3 C. 1.056 cm3 D. 42.24 cm3
A sphere and a hemisphere have the same volume. The ratio of their curved surface area is:
A. $${2^{\frac{3}{2}}}:1$$ B. $${2^{\frac{2}{3}}}:1$$ C. $${4^{\frac{2}{3}}}:1$$ D. $${2^{\frac{1}{3}}}:1$$
A tank 40 m long, 30 m broad and 12 m deep is dug in a field 1000 m long and 30 m wide. By how much will the level of the field rise if the earth dug out of the tank is evenly spread over the field?
A. 2 metre B. 1.2 metre C. 0.5 metre D. 5 metre
More Related Questions on Mensuration 3D