Rectangular Prism Study Guide

Introduction to Rectangular Prism

A rectangular prism is a three-dimensional shape that has six rectangular faces. It is also known as a rectangular solid or a cuboid. Each of its six faces is a rectangle, and opposite faces are congruent and parallel to each other.

Properties of Rectangular Prism

• It has 6 faces, 12 edges, and 8 vertices.
• The opposite faces of a rectangular prism are equal in area.
• The volume of a rectangular prism is given by the formula: V = l * w * h, where l is the length, w is the width, and h is the height of the prism.
• The surface area of a rectangular prism is given by the formula: A = 2lw + 2lh + 2wh.

Formulas

Volume (V) = length (l) × width (w) × height (h)

Surface Area (A) = 2lw + 2lh + 2wh

Example Problems

1. Find the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm.

Volume (V) = 5 cm × 3 cm × 4 cm = 60 cubic centimeters

2. Find the surface area of a rectangular prism with length 6 m, width 4 m, and height 2 m.

Surface Area (A) = 2(6×4) + 2(6×2) + 2(4×2) = 104 square meters

Study Tips

• Understand the difference between volume and surface area and how to calculate them.
• Practice identifying the length, width, and height of a given rectangular prism.
• Work through various example problems to reinforce the formulas and concepts.