# Applications of Similarity

ID: kiviz-bufil
Kate Bauer, BP BY-NC
Subject: Geometry
Grade: 8-10
Standards: HSG-SRT.A.1.b

This Geometry assignment contains 10 questions where students focus on similar figures. These exercises provide practice for Similarity, Right Triangles, and Trigonometry.

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10 questions

# Applications of Similarity

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1) A 6-foot tall baby giraffe casts a shadow that is 8 feet long. If an adult giraffe standing beside the baby casts a 20-foot shadow, how tall is the adult giraffe?

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2) A scale model of a submarine has a scale of 5 cm: 3 m. If the model submarine is 20 cm long, how long is the real submarine? Write your answer in meters.

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3) A scale model of a house has a scale of 2 in: 1 ft. If the real house is 16 feet tall, how tall is the model house? Write your answer in inches.

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4) On a map, two cities are 10.5 inches apart. The scale of the map is 0.5 inches: 6 miles. What is the actual distance between the towns in miles?

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5) On an architect's blueprint, the front of a building is 22 inches. The scale of the blueprint 1 inch: 3 feet. How wide will the front of the actual building be (in feet)?

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6) A cube has sides of length 5 cm. Find the side length of a similar cube which has volume 15.625 times the volume of the first cube.

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7) Two similar rectangular prisms have side lengths in the ratio ﻿﻿﻿$2:5$﻿. If the smaller prism has a volume of 40 cubic inches, what is the volume of the larger prism?

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8) The ratio of the corresponding heights of two similar cans of tomato sauce is ﻿$5:4$﻿﻿﻿. If the larger can has a surface area of 75 square inches, what is the surface area of the smaller can?

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9) The ratio of the volumes of two similar square pyramids is ﻿﻿﻿$8:27$﻿. If the height of the smaller pyramid is 12 feet, what is the height of the larger pyramid?

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10) The radius of Jupiter is 11.2 times the radius of Earth. How many times greater is the surface area of Jupiter than the surface area of Earth?

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