Geometry Answers

How many square inches of a material is needed to create an open top rectangular solid whose volume is 54 cubic inches? Assume that the length and width are of the same measurement and that the height is twice the length.

Find the distance, in inches, between two vertices of a cube that are farthest from each other if an edge measures 10 inches.

Find the approximate change in the volume of a rectangular solid caused by increasing side by 5%

An edge of ice measures 20 inches. The ice melts until it weighs half as the original size. Find the dimensions of the new ice cube.

Which term describes the point where the three medians of a triangle intersect?

If measure angle 1 equals 3x + 15 and measure angle 2 equals 6x + 3 find x

given ab and bc are tangents of d and the acd=15 what is the measure of abc?

4)If two vectors are given as A= -11i+2j (m) and B= 3i+3j (m), determine the resultant vector R=3A-B/2, and also find its magnitude R and direction?

how many decimeter are there in 15 centimeter

1. The frustum of a right circular cone has a slant height of 9 ft. and the radii of the bases are 5 ft. and 7 ft.

a. Find the lateral area and total area of the frustum.
b. What is the altitude of this frustum?
c. Find the altitude of the cone that was removed to leave this frustum.
d. What is the volume of the entire cone?

2.Consider the right pentagon pyramid. The sides of the upper and lower bases of the frustum are 4 and 10 inches, respectively, and the altitude of a lateral face is 6 inches. Find:

a. Lateral area of the frustum
b. Total area of the frustum
c. Volume of the frustum
d. Volume of the entire pyramid.