Answered: A rectangular make-up case is 3in. High…

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

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter2: Solving Linear Equations

Section2.3: Solve A Formula For A Specific Variable

Problem 2.64TI: A triangular tent door has area 15 square feet. The height is five feet. What is the length of the...

See similar textbooks

Related questions

Q: the lateral ar

A: Cone: The base diameter is 18cm Therefore radius is 9cm. lateral area is 516.4cm2.

Q: A cone-shaped pile of sawdust has a base dlameter of 36 feet, and is 16 feet tall. The volume of the…

Q: A sand box measures 10 feet long by 8 feet wide by 1 foot deep. What area of land must be cleared…

A: To find: The area of land must be cleared out to construct.

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: The volume of a cylinder is 72 m and the radius is 3 m. What is the height of cylinder?

A: GivenVolume of the cylinder = 72 m^3and Radius of the cylinder = 3 m

Q: The corners of a cubical block touched the closed spherical shell that encloses it. The volume of…

A: Volume of sphere is 4/3πr3

Q: Find the volume of a waffle cone with a diameter of 4.4 in. and an approximate height of 3 in. The…

A: Given; Diameter=4.4 inches Height=3 inches.

Q: A small box measures 5in by 4in by 3/4 in high. Find the volume of the box

Q: The volume of a cone is 768 n cm³. The radius of the cone is 8 cm. What is the height of the cone?

Q: Find the volume of a cylinder if the radius and height are 8 cm and 7 cm, respectively.

A: This question is related to Cylinders, we will solve it using given information.

Q: The surface area of a sphere is 367T square inches. What is the volume of the sphere?

A: Since, it is given that Surface Area of Sphere=36 π square inches.Our Aim is to find the Volume of…

Q: Find the volume of a pyramid with a square base, where the area of the base is 7.5 ft2 and the…

A: The area of a square pyramid is given by V=a2h3 where, a=Side edge of the bottom square. h= Height…

Q: The interior measurements of the base of a rectangular fish tank are 12 inches by 25 inches. The…

A: I have appended the formula used in the solution part.

Q: The volume of a pyramid is 50 in3. If the pyramid’s base is a rectangle that is 10.5 inches long and…

A: Area of pyramid base = l × b l = 10.5 inch b = 5.5 inch ∴ Area of pyramid base = 10.5 × 5.5…

Q: What is the volume of the cylinder

A: Given , We have to find volume of the cylinder

Q: A cell of Elodea measures 20µm x 50µm x 120µm: A. What is the volume? B. If it contains pure water,…

A: Mensuration deals with the measurement of areas and volumes of the plane and solid figures. Solids…

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: Find approximately the volume of wood required to make a cubical box of edge length 8 ft., using…

A: Convert all the measurements into inches. 8 ft=8·12 in= 96 in. We find the volume of wood required…

Q: Find the height of a cone with a volume of 230 3 in and a diameter of 14in. Use 3.14 as IT in

Q: A small box measures 12in by 5in by 3in high. Find the volume of the box

A: A small box measures 12in by 5in by 3in high.

Q: A cylinder has a volume of 78cm. What is the volume of a cone with the same radius and height?

Q: Calculate the volume of a square pyramid is the height is 13 and the base is 10?

A: To calculate: Volume (V) of a square pyramid. Given: Side length of the square base, a = 10 units…

Q: 2. The length of the edge of the cube (x + 2) meters. What is the volume of the cube?

Q: Find The Volume Of The Prism (x+7)+ (3x-1)F+ (2x+3) ft.

A: The given figure is a rectangular prism with length l=2x+3breadth b=3x-1height h=x+7

Q: the height of the lightest open top cylinder that will hold What Is circular volume of 27 Than' 9'

A: A cylinder is a shape like a can or a right circular prism. it is solid with two circular faces at…

Q: This oblique cylinder has a volume of 90 m³ and a base area of 12 m². 12 What is the height of the…

A: Given, Volume of oblique cylinder V=90πm3 Base area is (B)=12πm3

Q: Jessica has a picture in a frame with a total area of 288 in2. The dimensionof the picture without…

A: Let w be the width on either side of the picture. Hence, dimensions of the frame will be: Length =…

Q: how many liters of paint must you buy to paint the walls of a rectangle prism-shaped room that is 19…

A: Given: Let the length, width and height of the rectangular prism shaped room be l, w and h…

Q: A rectangular pyramid has a height of 12 meters. The area of the base of the pyramid is 18 square…

Q: The height of a cylinder is multipled by 7. Wha happens to the volume of the cylinder?

A: To find out what happens with the volume of cylinder when its height is multiplied by 7.

Q: The diameter of a beach ball is 3 feet. What is the volume of the beach ball?

Q: The surface area of a rectangular prism is 850 m2. Find the volume if the length is 10 and the…

A: Given that the surface area of a rectangular prism is 850 m2 and the length is 10 m, width is 11…

Q: Isaac is painting a 1.5 foot by 2 foot by 4 foot storage box with weather-resistant paint. Since the…

A: In the question it is asked to calculate the total surface area of the box that Isaac will paint.

Q: A tissue box is shaped like a rectangular prism the tissue box measures 5.2cm wide 9.6cm long and 6…

A: A tissue box is shaped like a rectangular prism the tissue box measures 5.2cm wide 9.6cm long and 6…

Q: a basketball with diameter 9.5 in is places in a cubic box with sides 10 in long. how many cubic…

A: We know that the volume of a sphere = 43·π·r3 where r is the radius of the sphere. The volume of…

Q: jocelyn has a cylindrical pool with a diameter of 11 feet and a height of 2 ft the inside of the…

Q: A cone has a volume of 350 cubic meters. The area of base is 70 square meters. What is the height of…

A: Given that a cone has a volume of 350 cubic meters and the area of base is 70 square meters. we have…

Q: The area of a diagonal section of a cube is 36 square root of 2 sq. cm. What is the volume of the…

Q: What is the volume of my donut? It is 5 inches across and 1% inches high with a hole that is 1 inch…

Q: A trapezoidal window has a height of 18 centimeters. The bases of the window are 34 and 28…

A: To find: The area of the trapezoidal window. Given: The height of the window is 18 cm, the length of…

Q: The volume V of the right circular cone is . If the height is twice the radius, which of the…

Q: Find the volume of a pyramid with a square base, where the perimeter of the base is 15.8 ft and the…

Q: A concrete sidewalk is to be be built around the outside of the corner lot that measures 140ft by…

A: Hence area of sidewalk =1575 ft2

Q: The diameter of a cone is 16 meters. If the height is 1.5 times its radius, what is the volume of…

A: Given: Diameter of a cone is 16m.height of the cone is 1.5 times its radius.

Q: The volume of a sphere is 36π m 3 .Find its area?

A: Given:Volume of a sphere=36 π m3Formula:Surface area of sphere=4 π r2Volume of sphere=43πr3

Q: Solve for the volume of the cylinder. 18.6ft 16ft

Q: Find the volume of a pyramid with a square base, where the area of the base is 16.3 ft and the…

A: Given : Area of the base = 16.3 Height of the pyramid= 13.7 To…

Q: Coach Johnson bought a dog crate shaped like a rectangular prism. The volume of the crate 3240 ft°.…

Q: The surface area of a sphere is 5024 square meters. What is the volume of the sphere?

A: Given, The surface area of a sphere is 5024 square meters.

Question

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

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

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Prisms$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

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.
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?
The numerical value of the volume of a cube equals the numerical value of its total surface area. What is the length of each edge of the cube?
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.
Find the volume of the solid of revolution that results when a right triangle with legs of lengths 5 in. and 7in. is rotated about the 7in.leg. Use 227.
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?
The base of a right prism is a triangle whose sides measure 7cm, 8cm and 12cm. The altitude of the prism measures 11cm.calculate the lateral area of the right prism.
A triangular tent door has area 15 square feet. The height is five feet. What is the length of the base?
If the radius length of one sphere is three times as long as the radius length of another sphere, how do the surface areas of the spheres compare? How do the volume compare?
A leather soccer ball has an inside diameter length of 8.5 in. and thickness of 0.1 in. Find the volume of leather needed for its construction. Use your calculator.