An open top rectangular tank with square bases is to have a volume of 10 cu. m The materials for its bottom is to cost P 15 per square meter and that for the sides P6 per square meter. Find the most economical dimensions for the tank. Felect the correct response:

An open top rectangular tank with square bases is to have a volume of 10 cu. m The materials for its bottom is to cost P 15 per square meter and that for the sides P6 per square meter. Find the most economical dimensions for the tank. Felect the correct response:

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...

See similar textbooks

Related questions

Q: A small town purchased a 35 ft diameter cylindrical tank for portable water in the event of an…

A: Given that, the diameter of the cylinder is 35 ft. The town consist of 4 300 family units. If each…

Q: A triangular sandpit having side lengths 5 m, 4 m and 8 m is to be constructed to a depth of 20 cm.…

A: The volume of a solid is calculated by multiplying the area of the base by the height/depth. The…

Q: The infield of a baseball field is a square that measures 90 feet on each side. The pitching circle…

A: Given the diameter of pitching circle=18 feet So, Radius of pitching circle=9 feetArea of pitching…

Q: UTEM Holding Sdn Bhd decides to replace the tiles with carpet grass at the student sports center.…

Q: 49. A rental truck has a cargo capacity of 288 ft’. A 10-ft pipe just fits resting diagonally on the…

A: Consider that the height of cargo is 6 ft., volume 288 ft2 and length of diagonal of base is 10 ft.…

Q: A 9 inches tall popcorn container is the frustum of a cone. Its small radius is 4.5 inches and its…

A: Finding the volume of frustum of cone

Q: A rectangular make-up case is 3in. High and has a volume of 90in3 . The wide is 1in. Less than the…

A: The case is in rectangular shape with 3 in height and volume is 90in3.The width of the case is 1in…

Q: Finn is looking into the position and range of 4G mobile towers in his local area. Finn learns that…

A: Given: Range of 46 tower is 50km ∴The area within the range of a 4G tower has boundory at 50 km from…

Q: find the lateral area of a regular prism with height h if the base of the prism is a square with…

Q: A cone is placed in a rectangular box having: L=6cm, W=6cm and H=6cm. What is the largest capacity…

Q: Cynthia Besch wants to buy a rug for a room that is 20ft wide and 27 ft long. she wants to leave a…

A: The dimensions of the room are given by,Length = 27 ft.Width = 20 ft.And Cynthia can afford to buy…

Q: During math class, Laura stated that the two cylinders shown below have the same volume. Jean…

A: We can answer it as below.

Q: The formula for finding the Volume, V, of a cylinder with radius r and height h is given. V = ar²h…

A: Given,formula for Volume V=πr2hradius r=?

Q: find the volume of the rectangular prism. V = H X WXL (ANSWER SHOULD BE IN CUBIC FEET)

Q: (a) Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his…

Q: The Volume of the triangular prism is 180 mm³. Find the answer that best matches the height of the…

Q: he surface area of a hemispherical dome whose diameter is 36 ft. is to be covered with gold leaf…

A: Diameter of hemispherical dome = 36 feet Radius = 362…

Q: Solve for the volume of an oblique triangular prism with a base that has a length of 6 in and a…

A: We have to find volume

Q: Cynthia Besch wants to buy a rug for a room that is 9 ft wide and 18 ft long. She wants to leave a…

A: Consider the diagram below. Let the gap for the uniform strip be x ft. Find the length and width…

Q: Find the height of the 2nd prism so that both prisms have the same volume. h D 4 6.

A: To find the height of second cylinder h Given For first prism Base Radius r1 = 6 Height h1 = 4 For…

Q: Cylinder Q has a base radius of 10 cm and a height of 5 cm. Cylinder R has a radius that is half of…

Q: Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then…

Q: The volume of a spherical balloon with radius 4.2 cm is about 310 cm3. Estimate the volume of a…

A: Formula to find the volume of the sphere helps to find the required volume of the spherical volume.…

Q: In this exercise, we are finding the perimeter of a Sierpinski gasket. (By "perimeter," we mean the…

A: We draw the Sierpinski gasket using the given steps of constructions for few iterations. Draw an…

Q: The area of the rectangular piece of cardboard shown below is 228 square inches. The cardboard is…

Q: . A firm wants to build cylindrical containers to transport its cargo. The volume of each container…

Q: A rectangular lawn measures 80ft by 100 ft. Part of the lawn is torn up to install a sidewalk of…

A: A rectangular lawn measures 80ft by 100 ft. Part of the lawn is torn up to install a sidewalk of…

Q: A sphere has a radius of 4 inches,and a cube-shaped box has an edge length of 7.5 inches. J.D. says…

Q: A cistern is 10ft square and 8ft deep. Fidn the

A: Given: A cistern 10ft square and 8ft deep.

Q: Eighteen foot-pounds of work is required to stretch a spring 4 inches from its natural length. Find…

Q: The volume of a sphere of radius r is given by The volume of a sphere of radius r is given by V=…

A: Here we are multiplying radius of the shere by 3. Then we need to find how the volume is changing.

Q: The formula V=13⋅s2⋅hV=13⋅s2⋅h gives the volume of a right square pyramid. What is the volume of…

Q: The side of a cube increases at a rate of 7 meter /second. Then the rate at which the volume of the…

Q: Stephen is comparing two solids. The first solid is a cone with a radius of 5 cm and a height of 9…

A: Given, The first solid is a cone with a radius of 5 cm and a height of 9 cm. The…

Q: Cynthia Besch wants to buy a rug for a room that is 20ft wide and 29ft long. She wants to leave a…

Q: Explain why the volume of the oblique prism below, which has the same base and height as the…

Q: Cone A has a diameter of 10 inches and Cone B has a diameter of 50 inches. The cones are similar,…

A: SOLUTION-

Q: Design a 6m open-top box shaped like a circular cylinder as shown in Figure. What dimensions will…

Q: square pyramid has base with side length 24 cm and has a slant height of 15 cm. What is the volume…

Q: Cynthia Besch wants to buy a rug for a room that is 23 ft wide and 26 ft long. She wants to leave a…

A: Total amount of carpeting is 23*26=598 square feet. And she can afford 418 square feet.She wants to…

Q: Suppose 2700 cm² of material is available to make a box with a square base and open top. a) Show…

Q: A closed rectangular container with a square base is to have a volume of 2592 in. The material for…

A: Given: A closed rectangular container with a square base is to have a volume of 2592 in3. The…

Q: Hi, I need help verifying that I got the correct answer. Please thank you.

Q: Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 26 ft long. She wants to leave a…

A: Given dimensions of floor l = 26 ft w = 20 ft

Q: Cynthia Besch wants to buy a rug for a room that is 21ft wide and 27ft long. She wants to leave a…

A: Let the width of the strip = x ft So the width of the rug = (21-2x) ft And length = (27-2x) ft. So…

Q: Mr Orlowski is filling his fish tank using a cylindrical can with diameter of 10cm and has a height…

A: No of cylindrical tanks = (volume of tank)/(volume if can) = (150×175×200)/(π×5²×30)…

Q: For a right circular cone, the dimensions are r = 6 cm and 8 cm. If the length of the radius is…

A: The figure consists of 2 cones, for which, dimensions are given for the first one, and radius and…

Q: Square biscuits of 5 cm and minimum to wrap are packed in boxes with a side a thickness of 5mm. What…

A: This question can be solved using the concept of surface area of cuboid.

Q: A pencil cup with a capacity of 20in.^3 is to be constructed in the shape of a rectangular box with…

A: Given,A pencil cup with a capacity of 20in3. The shape of the cup is a rectangular box with a square…

Q: A swimming pool has the shape of a box with a base that measures 28 m by 13 m and a depth of 3.5 m.…

A: Given Data- Length of swimming pool = 28 m Breadth of swimming pool = 13 m Depth of swimming pool =…

Question

An open top rectangular tank with square bases is to have a volume of 10 cu. m.
The materials for its bottom is to cost P 15 per square meter and that for the sides.
P6 per square meter. Find the most economical dimensions for the tank.
Select the correct response:
2x 2 x 2.5
4 x 4 x 0.6
1.5 x 1.5 x 4.4
3x 3 x 1.1

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

The gasoline tank on an automobile is box-shaped with dimensions of 24 in. by 20 in. by 9 in. If 1 ft3 corresponds to 7.5 gal of gasoline, What is the capacity of the automobiles fuel tank in gallons?
For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is doubled while the height is made half as large in forming a new cone, will the volumes of the two cones be equal?
The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of tin required for its construction. HINT: Include the lid and the base in the result.
Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat mixture used to fill the raised bed costs 15.75 per cubic yard. What is the total cost of the ingredients used to fill the raised garden?
a For the through in the shape of half-cylinder, find the volume of water it will hold Use 3.14 and disregard the thickness b If the trough is to be painted inside and out, find the number of square feet to be painted Use 3.14.
A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.
The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch for the lateral surface and 2 cents per square inch for the bases. What is the total cost of constructing the box?
Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
A cereal box measures 2 in. by 8 in. by 10 in. What is the volume of the box? How many square inches of cardboard make up its surfaces? Disregard any hidden flaps.
For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and 6 m. The altitude is 7 m. a Find the lateral area of the prism. b Find the total area of the prism. c Find the volume of the prism.