80.0k views
4 votes
Find the volume of a right prism with height h=10 cm, if: a The base is equilateral triangle with side 4 cm, base altitude of ≈ 3.5 cm. Help me!!!

2 Answers

6 votes
V=BA×h
A(triangle)=(4×3.5)/2=7cm²
V(prism)=7×10=70cm³

Hope this helped!
User Natan Williams
by
6.1k points
2 votes

To find its Volume of Right prism we multiply the base of the triangle times the height and divide that by 2.Then, multiply the area times the length, or the depth, of the prism to find the volume.

Area of the equilateral triangle =
(1)/(2)x4x3.5.

Area of triangle = 7 square cm.

Volume of the right prism = Area of triangle x Height of prism = 7x10 =70 cubic cm.

Volume of right prism = 70 cubic cm.

User StephanS
by
5.5k points