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Solid Mensuration

1. This document provides 10 sample problems related to solid mensuration and geometry. The problems cover topics like finding dimensions of shapes given certain measurements, calculating areas and volumes of various 3D shapes, relationships between sides and angles of regular polygons, and material requirements. 2. The problems include finding dimensions of a rectangular garden plot given its area and a ratio between its length and width, calculating distances and areas in a baseball diamond, and determining measurements of shapes like prisms, pyramids, cylinders, and funnels. 3. Various geometric shapes are discussed like rhombus, regular polygons up to octagons, squares, circles inscribed in and circumscribed around squares, and relationships between their measurements.

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Kim Villanueva
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142 views1 page

Solid Mensuration

1. This document provides 10 sample problems related to solid mensuration and geometry. The problems cover topics like finding dimensions of shapes given certain measurements, calculating areas and volumes of various 3D shapes, relationships between sides and angles of regular polygons, and material requirements. 2. The problems include finding dimensions of a rectangular garden plot given its area and a ratio between its length and width, calculating distances and areas in a baseball diamond, and determining measurements of shapes like prisms, pyramids, cylinders, and funnels. 3. Various geometric shapes are discussed like rhombus, regular polygons up to octagons, squares, circles inscribed in and circumscribed around squares, and relationships between their measurements.

Uploaded by

Kim Villanueva
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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ENGG MATH (Pre-Calculus)

SOLID MENSURATION SAMPLE PROBLEMS 6. The volume of a rectangular parallelepiped is 2,432 cu. Cm. and its
edges are in the ration 2:3:5. What are the dimensions of the solid?

1. A garden plot is to contain 128 sq. ft. If its length is to be twice is to


be twice its width, what should its dimensions be?
7. Regular pentagonal prism whose base is circumscribed about a
circle of r=4 cm, lateral edge = 20 cm. What is the area of the base?
What is the volume of the prism
2. The official distance between home plate and second base in a
baseball diamond is 120 ft. find the area of the official ball diamond
and the distances between the bases.

8. A pyramid with square base of basal edge 12 m. and slant height of


3. In a rhombus, each side is 10 cm long and one diagonal is 120 cm 5 m. What is the area of the base, lateral, and volume of the
long. Find the area of the rhombus. pyramid

Polygon No. of sides


Equilateral Triangle 3
Square 4 9. Right circular cylinder, circumference C=6π, height of the cylinder is
Regular Pentagon 5 4 cm. What is the area of the base, lateral surface area, and total
Regular Hexagon 6 surface area?
Regular Heptagon 7
Regular Octagon 8
Regular Nonagon 9

10. A funnel has 16 cm. in diameter and 6 cm. in height. How many
4. How many sides has a regular polygon if the measure of an exterior
square meter of sheet iron are required to make a funnel of the
angle is 72? 42? 36?
above dimensions

5. Given a square with a side of 10 cm. find the area of the region
bounded by its inscribed and circumscribed circles.

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