Saturday

February 28, 2015

February 28, 2015

Posted by **Zack** on Thursday, August 20, 2009 at 3:49pm.

the rectangular solid is a square. Which (if any) of the following statements are true?

(i) The rectangular solid and the cylinder have the same base area.

(ii) The rectangular solid has a greater base area than the cylinder.

(iii) The side length of the square base of the rectangular solid is equal to the diameter of the

cylinder.

(iv) The side length of the square base of the rectangular solid is less than the diameter of the

cylinder.

A)(i) and (iv) B) (ii) and (iii) C(ii) D)(i) and (iii)

- Math 117 -
**MathMate**, Thursday, August 20, 2009 at 6:02pmCylinders and prisms have the same formula for the volume, namely:

Volume = base area * height

So this settles (i) or (ii)

The area of a square is L², and that of a circle of diameter is πD²/4 = 0.785D².

So if the square's side length is equal to the diameter of the base, then the area of the square is bigger than the circle. This should settle choices (iii) and (iv).

If you have doubts about your choice, post what you think for a check.

**Answer this Question**

**Related Questions**

math - A rectangular solid has a base with length 6 cm and width 5 cm. If the ...

Math - The tree faces of a rectangular solid have areas 6,10, and 15. If the ...

Math - A rectangular prism has a length of 100 cm, a height of 10 cm and a ...

geometry - You have looked at it two times before. There are 30 questions worth ...

math correction - A rectangular solid has a base with length 2 cm and width 6cm...

geometry - a circular cylinder has a base with a radius of 7.5 cm. and a height ...

Geometry - If the edges of a rectangular prism are 8cm, 6cm, and the diagonal is...

math - find the volume of a tent having the shape of a rectangular solid of ...

Math - A rectangular solid has a volume of 40 cubic centimeters. If the ...

math - 2. the volume of a rectangular solid is 5376 cubic meters, and the base ...