1.2.3.1: Exercises

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Feb 23, 2024
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- 1.2.3: Solid Geometric Figures and Objects
- 1.3: Percents

Leah Griffith, Veronica Holbrook, Johnny Johnson & Nancy Garcia
Rio Hondo College

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Find the approximate volume
1. $A cone. The cone's radius is 3in and the cone's height is 8in.$
2. $A cylinder. The cylinder's radius is 3.8ft, and its height is 2.3ft.$
3. $A sphere with a radius of 1.4cm.$
4. $Half of a sphere with radius 8ft.$
5. $A cylinder with a half-sphere on top. The object's radius is 9.2in, and the height of the cylinder is 24.0in.$
6. $A cone with radius 1.7in and height 7.3in.$
Find the exact volume.
1. $A rectangular solid with width 4in, length 2in, and height 1in.$
2. $A rectangular solid with width 8mm, length 8mm, and height 8mm.$
3. $A sphere with a radius of 3in.$
4. $A cylinder with a radius of 2.1ft and a height of 0.9ft.$
5. $A sphere with radius 8mm.$
6. $An obelisk. The base is a rectanglar solid with length 10 ft, width 5ft, and height 30 ft. A triagular pyramid sits on top of the rectangle so its base is 10 ft by 5ft with a height of 12 ft.$
7. $A composite figure made up of a cylinder with a base radius of 0.5 cm and height is 2cm and a cone connected to the circular bases of the cylinder. The cone height is 1cm.$
Sketch a rectangular prism.
How much soil must be removed from a lot to create a basement for a new house?
$A composite figure with depth drawn as an intersection of two rectanglar solids. The depth of the entire figure is 8ft. The width of the nearest side is 35 ft, the width of the side opposite is 27 ft. The length connecting those sides is 40 ft on the right side. On the left side there is a 15 ft piece that comes down from the 27 ft side. It connects at a right angle to an unlabeled piece that is parallel to both the 27ft piece and the 35ft piece. The side that connects the unlabeled parallel piece to the 35 ft. piece is also unlabeled but meets the base at a right angle.$
Two boxes in the shape of rectangular prisms are stacked one on top of the other. What is the combined volume of the boxes?
$Two rectangular solids stacked on top of each other. The bottom figure has a length of 20 in, width of 18 in and height of 15 inches. The top figure has a height of 6in., is 6in. shorter in length than the bottom box, ad 3in shorter in width than the bottom box.$
A glass bead used to make jewelry is a rectangular prism with square ends. The stringing hole is 1.5 mm in diameter. What is the volume of the glass bead?
$A rectangular solid with a cylinder cutout of the middle. The length of the rectangular solid is 15mm and has a square base with 5mm sides. The cylinder cutout has a diameter of 1.5mm$

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