Getting into Solids: Pyramids - ETA hand2mind

Name __________________________________________
Find Surface Area and Volume
of the regular solid.
GETTING INTO SOLIDS — PRISMS
Worksheet 7: Answer Key (difficulty - easy)
Fill in the blanks and show all your work.
Rectangular Prism
Name of the solid: _______________________________
L.A. + 2 B
Equation for formula: S.A. = _____________________________
B h
Equation for formula: V = ________________________________
4 m
15 m
3 m
rectangle
First, I will solve for the area of the Base, which is a ____________________________.
Describe your process through a series of clearly shown mathematical steps.
B = l w
B = 15(4)
B = 60
Note: Area of the base, B, could also be 12 m or 45 m.
Teachers will need to specify which base to select
in a rectangular prism. The surface area and
volume results will not be affected.
60 m 2 rectangle
B = ____________________
Next, I will solve for the Lateral Area, which is a _____________________________.
Describe your process through a series of clearly shown mathematical steps.
First I will find the
Now I can find the
perimeter of the base, P.
lateral area, L.A.
P = 2 l+ 2 w
L.A. = P h
P = 2 (15) + 2 (4) L.A. = 38 (3)
P = 30 + 8 L.A. = 114
P = 38
114 m 2 L.A. + 2 B B h
L.A. = ____________________
Write the equations. S.A. = __________________________ V = __________________________
Replace variables with
their value. S.A. = __________________________ V = __________________________
Solve the equations.
(Show all algebraic steps.) S.A. = __________________________ 234 m 2 V = __________________________
180 m 3
14
114 + 2 (60) 60 (3)
S.A. = 114 + 120