Explain the difference between the surface area and the volume of a box in a way that a student could understand./

Q: What is the surface area?

A: Given object is a pyramid, with an equilateral triangle as base having equal sides of 6 cm. The…

Q: A right circular cylinder has a radius of 5 inches and a height of 8 inches. Find the lateral area,…

A: A cylinder has two flat shaped bases. A cylinder in which the bases are circular in shape and…

Q: A right rectangular container is 6 cm wide and 10 cm long and contains water to a depth of 7cm. A…

A: Length of container (l) = 10 cm Width (w) = 6 cm Now, Archimedes principle states that the volume of…

Q: An 80kg person climbs into a rectangular bathtub with vertical sides, measuring 3 meters long by 1…

A: The volume displaced by human: l*b*h h = 2.7 cm h = 0.027 meter l= 3 meter b = 1 meter   The volume…

Q: The amount of three-dimensional space an object occupies is its: O lateral face O volume surface…

A: Total amount of three dimensional space an object occupies is called volume of that object.

Q: The monument of Cestius in Rome which is a square pyramid is a square pyramid 121.5 ft high with a…

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Q: A rectangular box with a square base and of top must have a volume of 32 cm°. Fiind the smalles…

A: Given that: A rectangular box with square base has volume of 32 cm3.

Q: oil

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Q: A right circular cone is inscribed in a cube having a diagonal which measures 10√3 cm. Find the…

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Q: The linear density in a rod 2 m long is 2xe-x^2 kg/m, where the x is measured in meters from one end…

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Q: An agriculture field is in the form of a rectangle of length 20 m width 10 m. A 10 mdeep well of…

A: Given agriculture field in the form of rectangle as shown in figure A 10m deep well of  diameter 7m…

Q: What is the volume of the solid generated by revolving about the x-axis, the region bounded by y =…

A: The volume for solid of revolution between curves is the volume of object between a curve fx and a…

Q: A vessel in the shape of a cone has a height of 48 cm and a base diameter of 16 cm. It holds water…

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Q: What is the surface area of the side of the cylinder? (Hint: Imagine cutting the side of the…

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Q: A plane intersects a sphere with a volume of about 44.6 cubic meters through the center of the…

A: given data Volume of the sphere = 44.6 m³ find The area of the cross section Let "r" be the radius…

Q: A cylinder has a radius equal to its height. The total area of the cylinderis IOO π cm2 Find its…

A: It is given that h=r and A=πr2=100π Therefore solve the equation for r to get: πr2=100πr2=100r=10cm…

Q: 6) Find the volume of a cylinder with lateral area 112n and radius 7.

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Q: What is the surface area

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Q: How is the image of a figure that is dilated related to the original figure

A: For Answering this, we must have proper information about the definition of Some terminology like…

Q: A vessel in the shape of a cone has a height of 48 cm and a base diameter of 16 cm. It holds water…

A: Given,  Height of cone= 48 cm Base diameter = 16 cm Radius of cone = 8 cm  Depth of water = 18 cm…

Q: A Rectangular sheet of paper 44 cm x 20 cm is rolled along its length to form a cylinder.Find the…

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Q: How can I derive the formula for volume (of any shape) and how can it be used?

A: Volume:- It is defined as the three-dimensional space enclosed by a boundary or occupied by an…

Q: Find volume of the largest regular pyramid of square base that can be cut from s cube of edge “a”…

A: The largest pyramid in a cube is such tha one of the faces of the cube is the base of pyramid  Edge…

Q: 4. Using differential, determine the error in computing the volume of a cube if the error in…

A: Error in volume

Q: Find the dimensions (both radius and height) of a soup can with a volume of 432 cm³ that minimize…

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Q: 3) 2 1) 2527- 24 2. RD

A: The answer is given below:

Q: Calculate the density of a 500 g rectangular block with a volume of 325 mL

A: SI unit of density is Kgm3. So, convert mass into Kg and Volume into m3. → 1 cm3 = 1 mL  → 1 cm…

Q: Find the radius and height of the right circular cylinder of largest volume that can be inscribed in…

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Q: 9. A right pyramid has a height of 45 meters and a square base with sides 60 meters long. Determine…

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Q: Find the volume of the largest right circular cylinder that can be cut from a circular cone of…

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Q: Find the volume (in m³) of a right circular cylinder with height = 2.07 m and radius = 1.4 m. %3D…

A: It is given that,a right circular cylinder, height=2.07 m and radius=1.4 m We have to find the…

Q: A right circular cone of altitude 16 inches is cut by a plane parallel to the base and 7 inches from…

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Q: A right circular cylinder has a radius of 10 inches and a height of 16 inches. Find the 1. lateral…

A: We have to find the volume,lateral surface area,total surface area of given cylinder.

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

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Q: 3 2 12 ty 2 27 - 2k to 2. RD

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Q: An open box is to be made from a piece of cardboard measuring 10 in by 8 in. Calculate the maximum…

A: Consider the height of the box to be x inches. The length and width of the box is reduced by the…

Q: 8. If V represents the volume of an object, what does AP represent? - dt

A: dydx-Represent the Rate of change of 'y' with respect to 'x'. Here, 'y' is dependent variable and…

Q: What is the surface area of the net shown?

A: Given: Suppose the dimensions of each smaller square box be 1 unit by 1 unit. Lets divide the whole…

Q: A storage shed has a circular base of diameter 80 feet. Starting at the center, the interior height…

A: Given: Interior height measured at every 10 feet in the table To find: Volume of the shed To find…

Q: Find the volume of the solid that

A: Given,               y=x3, x=2 and the x-axis is revolved around the line x=2.

Q: right rectangular prism.

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Q: Determine the volume of a frustum of a cone and its lateral area whose altitude is 2/3 of the total…

A: The height of the cone is the length of the altitudeTotal height of the cone=10 mFrustum height…

Q: what is the volume of this shape? please show work.!

A: Given:

Q: Explain in your own words how to find the volume using the disk method.  Include on example in your…

A: To describe the method of finding volume of solids of revolution by disk method, using integration

Q: A sphere and a cube have equal surface areas.show that the ratio of the volume of the sphere to that…

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Q: Compute the volume of an object if its base is a circle with radius 3 and cross sections…

A: The object has circular base with radius 3 The equation of the circle is x2+y2=r2 here r = 3…

Q: A stack of paper measures 16 cm by 10 cm by 1 cm. The paper has a density of 0.04 grams/cm^3. What…

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Q: candy

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Q: Determine the dimensions of the right circular cylinder, with the greatest volume, that can be…

A: Here we have to determine the dimensions of the right circular cylinder, with the greatest volume,…