A closed water tank has the form of a cuboid with a square base with sides of length x  and a height  h. The total surface area of the tank is 16000 cm2 Find the value of x which maximises the volume.  Give your answer correct to 2 decimal places.

Q: Area The bottom of a planter is to be made in the shape of an isosceles triangle, with the two equal…

A: Equal side of isosceles triangle: a = 3 ft Third side of triangle: b = 2 ft  Area of bottom of…

Q: The depth of the ocean is sometimes measured in fathoms (1 fathom = 6 feet). Distance on the surface…

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Q: (a) A pyramid has a height of 461 ft and its base covers an area of 12.0 acres (see figure below).…

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Q: An average family of four uses roughly 1200 L (about 300 gallons) of water per day ( 1 L = 1000…

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Q: A block of gold has length 5.62 cm, width 6.35 cm, and height 2.78 cm. a. Calculate the base area…

A: Given: The length of the block is 5.62 cm.           The width of the block is 6.35 cm.…

Q: A) If the drop is a cube, what is its surface area? (Hint, volume of a cube = L3. Surface area of a…

A: Volume of the drop is V = 2 cm3 Length of te cube be L Radius of the sphere be R.

Q: The corners of a square lie on a circle of a diameter 9.0m. Each side of the sqaure has a length L.…

A: Given ,diameter of circle=9 mThe diagonal AB is equal to the diameter of circle .From the given…

Q: The Ark of the Covenant is described as a chest of acacia wood2.5 cubits in length and 1.5 cubits in…

A: The expression for the volume is,

Q: A U.S. gallon is a volume of 3.78 liters, where 1000 liters = 1000 L = 1 m3 .How many gallons would…

A: Given data:  Height of the cylinder (H) = 2.00 m Radius (R) = 0.500 m 1 gallon = 3.78 L 1 m3 = 1000…

Q: Problem 6: The sides of a small rectangular box are measured to be 1.55 + 0.045 cm, 2.1 + 0.025cm,…

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Q: Where r is the radius of the sphere and pi = 3.14. If you measure the radius of a bowling ball to be…

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Q: Iron has a mass of 7.87 g per cubic centimeter of volume, and the mass of an iron atom is 9.27 ×…

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Q: An approximately circular lake has a diameter of 25 km.  You measure the depth at several throughout…

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Q: You've been asked to calculate the mass of a conical pile of sawdust measuring 10 meters high with a…

A: Solution:-        We are given with height of a conical pile of…

Q: a) A pyramid has a height of 484 ft and its base covers an area of 11.0 acres (see figure below).…

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Q: ven the technical description of a triangular lot. Compute the area and perimet lot. LENGTH (m) LINE…

A: Perimeter of triangle = a + b + c

Q: Volume = area × thickness. Find the volume V as a function of thickness T if the area is 7.0 cm².

A: Given that; Volume= area×thickness Area=7.0 cm2 = 7×10-4m2 We have to find volume V as a function…

Q: The depth of the ocean is sometimes measured in fathoms (1 fathom = 6 feet). Distance on the surface…

A:

Q: A rectangular block of iron was found to be 19.00 cm wide, 0.31500 m high, and 720.026 mm deep.…

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Q: The depth of the ocean is sometimes measured in fathoms (1 fathom = 6 feet). Distance on the surface…

A: The depth of the ocean is sometimes measured in fathoms (1 fathom 6 feet). Distance on the surface…

Q: Problem 1. The standard kilogram used to be a platinum-iridium cylinder 39.0 mm in height and 39.0…

A: Given data: Mass (m) = 1 kg Height (h) = 39.0 mm Diameter (d) = 39.0 mm Required: The density of the…

Q: The radius of an atom of gold (Au) is about 1.35 Å. How many gold atoms would have to be lined up to…

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Q: A pyramid has a height of 488 ft and its base covers an area of 10.0 acres. The volume of a pyramid…

A: A) Volume of pyramid: V = 13(area of base ×height)V = 13(10 acrea)(43560 ft21 acre)(488 ft)V = 70.85…

Q: Assume you have a drop of 2 cm3 falling down. A) If the drop is a cube, what is its surface area?…

A: Volume of a drop (V) = 2 cm3

Q: What is the area of a circle which has a diameter equal to 3.138 cm? Hint The area is cm².

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Q: A contractor wants to install ceramic tile in a kitchen of length 9.13 m and width 6.2 m. What is…

A: Area of a rectangle= length × breadth

Q: Three vectors are given as: À = 3â – 9ỹ - B = 7âx + 10âŷ C = 4â + 5ŷ + 6£ These three vectors are…

A: Given- A→ = 3x^ - 9y^B→ = 7x^ + 10y^C→ = 4x^ + 5y^+6z^

Q: Problem 2: The lawn outside your neighbor's house has an approximate area of 145 m2. Part (a) One…

A: We have to calculate the volume of snow on the lawn.

Q: Using a ruler, you measure the length of a rectangle to be 12.75 cm and the width to be 3.64 cm.…

A: In the given question, Length of rectangle (L) = 12.75cm Width of rectangle (w) = 3.64cm We are…

Q: Babreka (The Kidney) is a lake in the Rila mountains, Bulgaria, with the shape of a kidney. Its area…

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Estimate of calculation