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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.