Please help me with this question ASAP thank-you! 3506. Marcus is constructing a rectangular pricm using exactly 96 cm² of cardboard. The prismwill have the greatest possible volume.a. What will be its dimensions? What will be its volume?

Answered: Image /qna-images/answer/7714e62a-f8f0-49b4-8592-48b280e33e0c.jpg

Answered: 6. Marcus is constructing a rectangular…

6. Marcus is constructing a rectangular pricm using exactly 96 cm² of cardboard. will have the greatest possible volume. What will be its dimensions? What will be its volume? a.

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 39E: Kristine creates an open box by cutting congruent squares from the four corners of a square piece of...

See similar textbooks

Related questions

Q: 2. On a certain vehicle, one windshield wiper is 60 cm long, and is afixed to a swing arm which is…

Q: 1. A carousel, with a diameter of 20 m, has 12 horses spaced around the circumference at equal…

A: Please see the answer in the next step.

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

Q: 3. Find the dimension of the largest rectangle (in terms of area) that can be inscribed in a circle…

A: To Find: the dimension of the largest rectangle ( in terms of area) that can be inscribed in a…

Q: What is the edge length of a cube with a volume of 1 L?

A: Volume of a cube is 1 L.

Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

A: GivenRectangular piece of cardboard width (b)=18 inchesRectangular piece of cardboard length (l)=20…

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: 3. The volume of an open box with a square base is 1,000 cm3. Find the dimensions of the box if the…

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…

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: O A cubical box is enlarged by e 3cm in length and width and 4em so that the resulting volume is…

Q: 2. An interior designer is designing a round table with a radius o would like to use a special kind…

A: Let the radius of round table is denoted by r and its value is given as 24 inches. Here we need to…

Q: Find the total surface area of the right triangular prism. 10 in 8.6 in 5 in OMoneuvering the Middle…

Q: (a) Find the smallest perimeter possible for a rectangle whose area is 25in? and what are its…

A: Due to q & a guidelines I will answer for only 1st question

Q: 2. A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an…

A: Snowcone is a crunchy ice ball. If r is the radius of any spherical shape body then its volume is…

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

Q: What is the edge of a cube whose volume is equal to that of a rectangular bar measuring 100 cmlong,…

A: Let the edge length of the cube be 'a' units

Q: 21. The area of sector of AOB is 12.25 cm2.

A: 27) Given: The Area of the sector of AOB is 12.25π cm2.

Q: 8 in Find the volume of the sphere.

Q: 36. Arectangular ostrich pen built along the side of a river (so that only three sides of fence are…

A: 36)To find the maximum area

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?

Q: 11.) What is the area of a regular pentagon whose apothem is 25.1 mm and perimeter is 182 mm?

A: The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to…

Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

Q: ' If there are 1 4 cu. ft. in a capacity ( in bushels ) of a hopper in the shape of an inverted…

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

A: The question is to find the proportions of the silo such that the total cost for making the silo is…

Q: 14. City college is having a poster contest. The posters must be rectangular in shape, and they must…

Q: 6. A regular pentagonal prism with base perimeter of 20 cm and height of 10 cm is made of wax. If it…

A: Given: Perimeter = 20 cm Height = 10 cm

Q: 19.) What is the surface area of a rectangular prism with length of 20.1 m, a width of 6.8 m, and a…

A: Length, l = 20.1 m breadth, b = 6.8 m height, h = 7.4 m Surface area of rectangular prism, A = 2(l*b…

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…

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: 2. Carl builds a rectangular pig pen with two parallel partitions using 150 meters fencing…

A: We can solve the given problem by using the second derivative test.

Q: |1. A poster is to have an area of 900cm² with 3cm margins at the bottom and sides and a 5cm margin…

Q: 5. two trapezoids with areas 49 cm2 and 9 cm2

Q: A square base prism and a cylinder both have the same height of 4 cm in the same base area if the…

Q: b) Suppose a die size is 3.5cm? and feature size is 64pm, Calculate the No. of Components on10"…

A: Here Die size=3.5 cm2feature size=64pm

Q: 9. Find the base area of a right prism with volume 47.01 cm' and height 3.2 cm.

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: 1. What is the volume of a triangular pyramid with a length of 15 ft, a width of 7 ft, and a height…

A: We can find the volume using the formula as below

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

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: 2. Ms. Robinson designed a semicircle arch made of bent iron for her gate. Suppose the diameter of…

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

Q: An igloo or Eskimo hut is built in the form of a hemispherical shell with an inside diameter of 12…

A: The inside diameter is 12 unit. Therefore, inside radius is r1=122=6 unit The igloo is constructed…

Q: 9. If the exact volume of a right circular cylinder is 200T cm³ and its altitude measures 8 cm, what…

Q: 1. Find the volume of a regular octahedron if one edge is measured as 10 cm.

Question

Please help me with this question ASAP thank-you!

350
6. Marcus is constructing a rectangular pricm using exactly 96 cm² of cardboard. The prism
will have the greatest possible volume.
a. What will be its dimensions? What will be its volume?

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 with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in. are cut from the corners of a rectangular piece of poster board that is 20 in. wide by 30 in. long. 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?
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?
Suppose that the volume of an aluminum can is to be 9in3. Find the dimensions of the can if the diameter length of the base is three-fourths the length of the altitude.
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.
Determine the volume of a cone with a circular base that has a radius of 365 in. and a height of 9.24 in. Round the answer to 1 decimal place.
The roof of the house shown needs to be reshingled. a Considering that the front and back sections of the roof have equal areas, find the total area to be reshingled. b If roofing is sold in squares each covering 100ft2, how many squares are needed to complete the work? c To remove old shingles and replace with new shingles costs 97.50 per square. What is the cost of reroofing?