MA.912.G.7.5 Volume, Lateral Area & Surface Area of Solids
Two-Dimensional
MA.912.G.1.1 Line Segments
MA.912.G.1.3 Parallel Line ∠s
MA.912.G.2.2 ∠ s of Polygons
MA.912.G.2.3 Prop of Polygons
MA.912.G.2.4 Transformations
MA.912.G.2.5 Perimeter & Area
MA.912.G.3.3 Prop of Quads
MA.912.G.3.4 Quad Theorems
MA.912.G.4.6 ~ & Triangles
MA.912.G.4.7 Inequality Theo
MA.912.G.5.4 Right Triangles
MA.912.G.6.5 Circle Measures
MA.912.G.6.6 Circle Equations
MA.912.G.8.4 Conjectures
Three-Dimensional
Trig & Discrete Math
In Your Text
Section 12-2; 830-837
Section 12-3; 838-846
Section 12-4; 847-854
Section 12-5; 857-863
Section 12-6; 864-871
What You Need To Know...
Lateral area, surface area, and volume of solids.
- The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
- Items may use properties of congruent and similar solids, chords, tangents, and radii.
- Items may be set in either mathematical or real-world contexts.
- Items may refer to right prisms, right-circular cylinders, spheres, right pyramids, right-circular cones, and/or composites of these solids.
Example One
Abraham works at the Delicious Cake Factory and packages cakes in cardboard containers shaped like right circular cylinders with hemispheres on top, as shown in the diagram below.
Abraham wants to wrap the cake containers completely in colored plastic wrap and needs to know how much wrap he will need. What is the total exterior surface area of the container?
- 90π square inches
- 115π square inches
- 190π square inches
- 308π square inches
Example Two
At a garage sale, Jason bought an aquarium shaped like a truncated cube. A truncated cube can be made by slicing a cube with a plane perpendicular to the base of the cube and removing the resulting triangular prism, as shown in the cube diagram below.
What is the capacity, in cubic inches, of this truncated cube aquarium?
Additional Examples
