S UR FACE AR E A
Name:
For use with pages 8–9 in the March 4, 2013, issue of Scholastic MATH Magazine.
CRAZY CONSTUCTION
SURFACE AREA
FORMULAS
radius
Surface Area of a Sphere =
4
Remember: To find the area of a
rectangle or square, multiply the
base
width or length by the height.
width
height
length
5
p
5
radius squared = 4p
5
r2
Surface Area of a Square Pyramid =
base area + 0.5
5
base perimeter
5
slant height
base
Surface Area of a Rectangular Prism =
width
WHAT TO DO
Use the formulas to answer the
height (2
5
base area) + (2 5 side area) + (2 5 side area)
length
base
questions below. (Remember to use
Surface Area of a Trapezoidal Prism =
order of operations when using
height
the formulas.)
base perimeter
5
prism’s height + 2
5
base area
1
13,900 square feet. Find the surface area of the Longaberger
Picnic Basket.
2
4
The Big Apple is in Ontario, Canada. The building is a
sphere with a 35-foot diameter. Find its surface area.
The Walter Pyramid is a square pyramid. That’s a pyramid
made up of 5 faces consisting of a square base and
4 congruent triangles that are the same shape and size. The
pyramid’s slant—the height of one of the triangular faces—is
about 258 feet. Each side of the pyramid’s base is about
345 feet long. Find the surface area of the Walter Pyramid.
3
The Longaberger Picnic Basket’s shape resembles
a trapezoidal prism that’s on its side. The distance
from one base to the other is about 200 feet. This is the
trapezoidal prism’s height. It has an approximate base
perimeter of 475 feet and an approximate base area of
Say you have a school building with a surface area of
80,000 square feet. How many more square feet are in
the surface area of the Longaberger picnic basket building
than in the surface area of the school building?
5
How many more square feet are in the surface area of
the Walter Pyramid building than in the surface area of
the school building in No. 4?
MARCH 4, 2013