Skip to main content

MA.912.G.7.5 Volume, Lateral Area & Surface Area of Solids

 

texas_instruments_ti_30xs_multiview.jpg

Two-Dimensional

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

SchoolTubeLogo.jpg

What You Need To Know...

Lateral area, surface area, and volume of solids.

  1. The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
  2. Items may use properties of congruent and similar solids, chords, tangents, and radii.
  3. Items may be set in either mathematical or real-world contexts.
  4. 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.

7-5.jpg

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?

  1.   90π  square inches
  2. 115π square inches
  3. 190π square inches
  4. 308π  square inches

CLICK HERE FOR SOLUTION

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.

7-5B.jpg

What is the capacity, in cubic inches, of this truncated cube aquarium?

Blank Grid.jpg

CLICK HERE FOR SOLUTION

Additional Examples

coming-soon_gif.jpg

VideoTutorial_banner.JPG
Lateral & Total Surface Area
Please select a video file.
Area Part 2
Please select a video file.
Area Part 3
Please select a video file.
Volume of Solids
Please select a video file.
Vloume Part 2
Please select a video file.

Reference Sheet

reference.JPG