Geometry
SOLID GEOMETRIC FIGURES
SOLID GEOMETRIC FIGURES
This chapter covers the calculation of the surface area and volume of selected
solid figures.
EO 1.5
Given the formula, CALCULATE the volume and
surface areas of the following solid figures:
a.
Rectangular solid
b.
Cube
c.
Sphere
d.
Right circular cone
e.
Right circular cylinder
The three flat shapes of the triangle, rectangle, and circle may become solids by adding the third
dimension of depth. The triangle becomes a cone; the rectangle, a rectangular solid; and the
circle, a cylinder.
Rectangular Solids
Figure 14 Rectangular Solid
A rectangular solid is a six-sided solid figure
with faces that are rectangles, as shown in Figure
14.
The volume of a rectangular solid is calculated
using the following formula:
V = abc
(3-11)
The surface area of a rectangular solid is
calculated using the following formula:
SA = 2(ab + ac + bc)
(3-12)
The surface area of a rectangular solid is expressed in square units, and the volume of a
rectangular solid is expressed in cubic units.
Rev. 0
Page 13
MA-03
