Question

Math questions! Please help?

Answer 1

Hello there.

What is the volume of the given prism?

9.4 * 5.4 * 11.7=593.892

Round to the nearest tenth of a centimeter

Based off that,

Answer: 593.9.
Second Option.

Answer 2

Explanation:

(A) Volume of prism = Length × width × height

= 11.7 × 5.4 × 9.4 = 593.9 cm³

Option B is the answer.

(B) Volume of cylinder = πr²h

= π × (5)² × 10 = 250π in³

Option D is the answer.

(C) Volume of the square pyramid =
`a^(2)(h)/(3)`

=
`12^(2)((11)/(3))`

= 528 cm³

Option C is the answer.

(D) Slant height of the pyramid = 29 ft

Height of the pyramid =
`\sqrt{\text{slant height}^(2)-(\frac{\text{Length of base}}{2})^(2)}`

=
`\sqrt{29^(2)-21^(2)  }`

=
`√(841-441)`

= 20 ft

Now volume of the pyramid =
`((1)/(3))(42)^(2)(20)`

= 11760 ft³

Option A. is the answer.

(E). Volume of sphere =
`\frac{(A^{(3)/(2) } )}{6√(\pi ) }`

3000π =
`\frac{(A^{(3)/(2) } )}{6√(\pi ) }`

(3000π)² =
`(A^(3) )/(36\pi )`

(3000π)²(36π) = A³

A³ = 324×(10²)³×(π)³

A = (∛324)×100π

= 688×π = 2158 m²

Option C. is the answer.

(F). Yes. Both the figures are similar because their corresponding sides are in the same ratio.

`(3)/(24)=(4)/(32)=(14)/(112)=(1)/(8)`

Option C. 1 : 8 is the answer.