Getting into Solids: Pyramids - ETA hand2mind

Name __________________________________________
Find Surface Area and Volume
of the regular solid.
Fill in the blanks and show all your work.
Pentagonal Prism
Name of the solid: _______________________________
L.A. + 2 B
Equation for formula: S.A. = _____________________________
GETTING INTO SOLIDS — PRISMS
Worksheet 9 Answer Key: (difficulty - hard)
regular pentagon
base edge = 2 cm
apothem = 1.376 cm
13 cm
B h
Equation for formula: V = ________________________________
pentagon
First, I will solve for the area of the Base, 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. area of the base, B.
P = 5 S
B = 1 / 2 Pa
P = 5 (2) B = 1 / 2 (10)(1.376)
P = 10 B = 6.88
6.88 cm 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.
L.A. = P h
L.A. = 10(13)
L.A. = 130
130 cm 2 L.A. + 2 B B h
L.A. = ____________________
Write the equations. S.A. = __________________________ V = __________________________
Replace variables with
their value. S.A. = __________________________ V = __________________________
130 + 2 (6.88) 6.88 (13)
S.A. = 130 + 13.76
Solve the equations.
(Show all algebraic steps.) S.A. = __________________________ 143.76 cm 2 V = __________________________
89.44 cm 3
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