Use the triangular prism to answer the following questions: 4cm 3,3cm 8cm 6cm 2.1 2.1.1 Draw a net of this triangular prism, add the side lengths. (Not to scale.) 2.1.2 Calculate the surface area of the triangular prism. 2.2 If the total surface area of a cube is 216cm, what will its volume be? What conclusion can be made about the relationship between the surface area and the volume of this cube?

Use the triangular prism to answer the following questions: 4cm 3,3cm 8cm 6cm 2.1 2.1.1 Draw a net of this triangular prism, add the side lengths. (Not to scale.) 2.1.2 Calculate the surface area of the triangular prism. 2.2 If the total surface area of a cube is 216cm, what will its volume be? What conclusion can be made about the relationship between the surface area and the volume of this cube?

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 16E: For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and...

See similar textbooks

Similar questions

The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of tin required for its construction. HINT: Include the lid and the base in the result.
The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has 22 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Figure 15)?
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the height of a prism with a base area of 2.7 square feet and a volume of 4.86 cubic feet.
For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and 6 m. The altitude is 7 m. a Find the lateral area of the prism. b Find the total area of the prism. c Find the volume of the prism.