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Geometry Essentials
12.2 / 12.4 Practice Worksheet
Name: ____________________________________
For numbers 1 – 4, find the lateral area, surface area, and volume of each solid.
1.
2.
Draw the base:
Draw the base:
What is the missing side length of the base? ___________
Perimeter of the Base (P):_________________________
Perimeter of the Base (P): _________________________
Area of the Base (B): _________________________
Area of the Base (B): _________________________
Height of the Solid (h): _________________________
Height of the Solid (h): _________________________
Lateral Area (L) : __________________________
Lateral Area (L) : _____________________________
Surface Area (S) : _________________________
Surface Area (S) : _________________________
Volume (V) : __________________________
Volume (V) : __________________________
3. (apothem length is 3.5 in.)
Draw the base:
4.
Perimeter of the Base (P):_________________________
Perimeter of the Base (P): _________________________
Area of the Base (B): _________________________
Area of the Base (B): _________________________
Height of the Solid (h): _________________________
Height of the Solid (h): _________________________
Lateral Area (L) : __________________________
Lateral Area (L) : _____________________________
Surface Area (S) : _________________________
Surface Area (S) : _________________________
Volume (V) : __________________________
Volume (V) : __________________________
Draw the base:
Find the surface area and volume of the cylinder. Keep P and B as an exact answer. Round SA and V to the tenths place.
5.
6.
Perimeter of the base (P): ____________
Perimeter of the base (P): ____________
Area of the base (B): _____________
Area of the base (B): _____________
Height of the solid (h): ____________
Height of the solid (h): ____________
Surface Area (S): ______________
Surface Area (S): ______________
Volume (V): _________________
Volume (V): _________________
Want a Challenge? Extra Credit!!!
7. If the surface area of this right prism is 208 m2,
find the value x.
9. Find the volume of the solid.
(Area of a trapezoid = ½(b1 + b2)h.)
8. If the surface area of the cylinder is 452.4 in2, find the
value of x.
10. A swimming pool measures 40 feet long by 20 feet wide
by 10 feet deep (at its deepest point). The pool is filled to a
depth of 6 feet. Find the volume of the water in the pool.
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