The figure shown is a cube with 6-in. sides. Find the exact length of the diagonal through the interior of the cube d by following these steps. a. Apply the Pythagorean theorem using the sides on the base of the cube to find the length of diagonal c. b. Apply the Pythagorean theorem using c and the height of the cube as the legs of the right triangle through the interior of the cube. | 6 in. 6 in. 6 in

The figure shown is a cube with 6-in. sides. Find the exact length of the diagonal through the interior of the cube d by following these steps. a. Apply the Pythagorean theorem using the sides on the base of the cube to find the length of diagonal c. b. Apply the Pythagorean theorem using c and the height of the cube as the legs of the right triangle through the interior of the cube. | 6 in. 6 in. 6 in

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 48E: It can be shown that the length of a diagonal of a right rectangular prism with dimensions l, w, and...

See similar textbooks

Similar questions

a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
Given: In Figure 39-12, s is the length of a side of a hexagon, r isthe radius of the inside circle, and R is the radius of the outside circle. a. What is the length of r if r equals the product of 0.866 and the length of a side of the hexagon? b. What is the length of R if R equals the product of 1.155 and the radius of the inside circle? c. What is the area of the hexagon if the area equals the product of 2.598 and the square of the radius of the outside circle?
a Given that the polygon shown has six congruent angles, this polygon is known as an __________ _________ b What is the measure of each of the congruent interior angles?
For square MNPQ, MN = 4. Congruent squares and congruent triangles form octagon ABCDEFGH. Find the area of ABCDEFGH.
For Exercise 42 and 43, use the drawing and the formula from Exercise 41. Find the area of an isosceles triangle for which s=10.6cm and the measure of the vertex angle is 46.
In a triangle whose area is 72 in2, the base has a length of 8 in. Find the length of the corresponding altitude.
It can be shown that the length of a diagonal of a right rectangular prism with dimensions l, w, and h is given by d=l2+w2+h2. Use this formula to find the length of the diagonal when l=12in., w=4in., and h=3in.
In ABC,mC=90 and mB=60. If AB=12 in., find the radius of the inscribed circle. Give the answer to the nearest tenth of an inch.