Math 117
posted by Zack .
1.) A rectangular solid and a circular cylinder have the same volume and the same height. The base of
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)

Cylinders 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.
Respond to this Question
Similar Questions

math correction
A rectangular solid has a base with length 2 cm and width 6cm. If the volume of the solid is 108 cm^3. Find the height of the solid. Possible answers are: A) 8cm B)9cm C) 10cm D) 11cm My answer: V = LWH 108 = (2)(6)H 108= 12H   … 
math
A rectangular solid has a base with length 6 cm and width 5 cm. If the volume of the solid is 300 cm3, find the height of the solid. [Hint: The volume of a rectangular solid is given by V = LWH.] 
Math
A rectangular solid has a volume of 40 cubic centimeters. If the dimensions are all reduced to 1/2 their original size, what will be the new volume of the rectangular solid? 
Math
The tree faces of a rectangular solid have areas 6,10, and 15. If the dimensions of the rectangular solid are all integers, what is the volume of the solid? 
algebera
1) Identify the solid form by the given net. :Triangular Prism :Triangular Pyramid*** :Cone :Triangle 2) Name the solid according to it's description: The figure has two bases that are parallel congruent circles. :Cylinder*** :Rectangular … 
solid mensuration
the base of a rectangular solid is 4 ft. long and 3 ft. wide. find the volume of the solid if its diagonal is square root of 41 ft. . 
math
check my answers pls 1. which solid has two bases that are triangles and three lateral surfaces that are rectangles a. triangular pyramid b. rectangular prism c. triangular prism *** d. rectangular pyramid 2. a solid with two parallel … 
geometry
1. which solid has two bases that are triangles and three lateral surfaces that are rectangles a. triangular pyramid b. rectangular prism c. triangular prism *** d. rectangular pyramid 2. a solid with two parallel and congruent bases … 
Algebra
1. which solid has two bases that are triangles and three lateral surfaces that are rectangles a. triangular pyramid b. rectangular prism c. triangular prism *** d. rectangular pyramid 2. a solid with two parallel and congruent bases … 
Math
1.Which solid has one base that is a triangle and three lateral surfaces that are triangles?