A rectangular box having a square base and open at the top is to have a capacity of 16823 c. Find the height of the box to use the least amount of material. A) 16.14 cm 18.41 cm 28.74 32.28 cm

Q: 4. A cylinder has a volume of 198 cm3, and its base has an area of 22 cm?. What is the height of the…

A: Volume of cylinder=198 cm3area of Baseπr2=22 cm2height=?

Q: 4. Find the volume of a three-sided pyramid with height h and base an equilateral triangle with side…

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Q: A pyramid has a base area of 16 cm 2and a volume of 32 cm 2. Findits height.

A: If the base area of a pyramid is given as B and the height of the pyramid is given as h, then the…

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: 6in. B in 10 in

A: Given that a pyramid that has height = 6in. And length = 10 inch and width = 8 inch. We find volume…

Q: 4. If 7,500 cm? of cardboard is available to make a box with a square base and an open top. Find the…

A:

Q: What is the largest rimeter is 2021 cm, and what its dimensions? possible for a rectangle whose pe-…

A: The perimeter is 2021 cm. Let l be the length and w be the width of the rectangle. That is,…

Q: Suppose that each of the bases of the hexagonal prism in Exercise 1 has an area of 12 cm? and that…

A: The surface area of the solid is A=AL+2AB where AL is the total lateral surface area and AB is the…

Q: Two sides of a triangular lot measure 14 cm each. What is the maximum possible area of the triangle?

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Q: 9. Suppose that each of the bases of the hexagonal prism in Exercise 1 has an area of 12 cm2 and…

A: 9. The formula for the volume of a regular prism is given as follows:

Q: A swimming pool is built in the shape of a rectangular parallelepiped 8 ft deep, 10 ft wide, and 25…

A: Given the dimensions are: 8 ft      10 ft       25 ft Water density, r = 62.4 lb/ft3 Total work done…

Q: 43) Find the largest volume of a rec by cutting little rectongular box with out of the four no top…

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Q: If 1234 cm? of material is available to make a box with a square base and an open top, find the…

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Q: A doll-manufacturing company wishes to create a display box with a square base and open front side.…

A: Given Let the side of square base of open box is a and height is h. also given surface area is 486…

Q: 7. If 300 cm³ of material is available to make a box with a square base and an open top, find the…

A: Assume side of the square box is x and height is y. Hence, volume of the box is given by…

Q: What is the volume, in cubic in, of a rectangu 10in, and a length of 2in? Answer: V =

A:

Q: What is the area of a trapezoid with bases of length 2.9 cm, 1.3 cm, and a height of 0.9 cm? O 1.89…

A:

Q: 1. Find the volume of a prism if the base is an equilateral triangle with sides measure 5 meters and…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: A kite formed with two perpendicular sticks of lengths 11 inches and 12 inches, respectively, has an…

A:

Q: 4. What is the volume of the square pyramid with base edges 10 in. and height 9 in.? 9 in. 10 in.

A: We can find the volume as below.

Q: . A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting…

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Q: 32.) What is the volume of a 6 foot high square pyramid with base edges of 8 feet?

A: Base = 8 feet height = 6 feet Volume of square pyramid = Area of base * height…

Q: The Moscow Papyrus gives a formula for the volume of a truncated square pyramid as (a² + ab + b³) V…

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Q: 15. If 1200 cm²? of material is available to make a box with a square base and an open top, find the…

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Q: If an open box is made from a square tin sheet 12×12 in. by cutting an identical squares from each…

A: in this question, there is an open box made by 12*12in  tin sheet For the box to be of the largest…

Q: If 1200 cm? of material is available to make a box with a square base and an open top, find the…

A: Given, material available = 1200 cm2 Let's assume the sides of the square base = a Height of the…

Q: A container with square base, vertical sides, and open top, is to be made from 3,000 ft² material.…

A: This question is based on application of derivative.

Q: What is the area of a regular octagon with an apothem of 20.8 cm and a side length of 17.2 cm? O…

A: Solved given problem follow step below.

Q: What is the volume of a sphere of diameter 42 cm? Use (22/7) as an approximation for 7 O 5,544 cm3 O…

A: Given : The diameter of sphere is 42cm.   To find the volume of the sphere.

Q: 1. A supermarket employee wants to construct an open-top box from a 14 by 30 in a piece four corners…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 35.) What is the volume of a square pyramid with a base edge of 14 m and a slant height of 25 m?

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Q: 2. If a cylinder is known to have a volume 25% greater than that of a sphere with an area of ​​576π…

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Q: (8) If 1200 cm? of the material is available to make a box with a square base and an open top, find…

A: The volume of the box V=a2h

Q: 8. What is the volume of the square pyramid with base edges 18 m and slant height 15 m? 15 m 18 m…

A:

Q: Suppose that each of the bases of the triangular prism in Exercise 2 has an area of 3.4 cm? and that…

A: Consider the given: Find the volume of Prism: The Volume of Prism = Base Area ×height It is given…

Q: Suppose that each of the bases of the triangular prism in Exercise 2 has an area of 3.4 in and that…

A: A triangular prism is a 3-sided prism. Given that, each of the bases of a triangular prism has an…

Q: What is the area of a trapezoid with bases of length 4 cm, 1.6 cm, and a height of 2 cm? O 2.8 cm2 O…

A:

Q: 19 in What is the volume of a triangular pyramid that is 9 inches tall and has a base area of 18…

A: As the area of base = 18 in2 Height of the pyramid = 9 in

Q: A circular cylinder with a volume of 6.54 cu.m is circumscribed about a right prism whose base is an…

A:

Q: A square based prism and a cylinder both have the same height of 4cm^3, based on the concepts of the…

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Q: A rectangular parallelipiped is of dimensions 5cm x 2cm x 5cm. How many such rectangular…

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Q: What is the area of a trapezoid with bases of length 2 cm, 0.6 cm, and a height of 2 cm? O 5.2 cm2 O…

A: Topic:- area of trapezoid

Q: Which fractions were used in Moscow Papyrus 10th problem in solving the surface area of a basket? 1…

A: The solution of Moscow Papyrus 10th problem contains exactly 14 steps. We need to determine the…

Q: What is the area of a regular octagon with an apothem of 9.3 cm and a side length of 7.7 cm? O…

A:

Q: 12) If the volume of a cube is 64cm³, find the surface area of the largest sphere that can fit…

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Q: What is the smallest perimeter possible for a rectangle whose area is 16 in2, and what are its…

A: Let l be the length and b be the breadth of the rectangle.

Q: What is the area of a trapezoid with bases of length 3.3 cm, 1.5 cm, and a height of 2.9 cm? O 3.48…

A: We can find the area as below.

Q: Given that a right circular cylinder is inscribed within a sphere, what is the least possible volume…

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Q: 6. What is the volume of the square pyramid with base edges 4 m and height 3 m? 3 m 4 m 4 m 8 m3

A: