2(a) The shaded face of the cuboid is a square. Find the length of one side 2 points of the square face. * (a) Volume = 6000 cm 15 cm cm

Q: You are constructing a box from a piece of cardboard with dimensions 6 by 8 meters. You cut…

A:

Q: 5. Find the area of the region enclosed by 2 parabolas: y = * and y = 2x - r. Find the two…

A:

Q: Find the volume of the pyramid (tetrahedron) with vertices at the points: A(-3,2,1), B(12,-1,0),…

A: Given vertices of the tetrahedron: A-3,2,1, B12,-1,0, C3,1,0 and D1,1,5 a) The vertices can be…

Q: 52. A closed box is in the shape of a rectangular solid with height 3 m. Its surface area is 268 m².…

A: The volume of the given closed rectangular box is 240 m3 The surface area of the given closed…

Q: A waterway in a theme park has a semicircular section with a diameter of 11ft.The boats that are…

A: Given that, The depth of water is 4.5 feet. The diameter is 11 feet. The lower depth of boat is 3.5…

Q: cm. What is the maximum area of the triangle. What size of base will produce that maximum area?

A: Explanation and solutions is given below.....

Q: (b) An open box with a square base and a surface area of 2700 square inches is needed. Find the…

A:

Q: A rectangle is inscribed with its base on the X-axis and its upper corners on the parabola y=…

A: A rectangle is inscribed with its base on the x-axis and its upper cornerson the parabola y=8-x2.

Q: A cylinder is inscribed in a fixed cone of radius 2c and height c. The vertical axis of symmetry of…

A: Given A cylinder is inscribed in a fixed cone of radius 2c and height c.

Q: SHOW FULL SOLUTION. A semi-circle is placed on top of a rectangle such that the diameter of the…

A: Given :   A semi-circle is placed on top of a rectangle such that the diameter of the semi-circle…

Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: The square region with vertices (14,0)​, (28,14)​, (14,28)​, and (0,14) is revolved about the​…

A:

Q: Find the dimensions of the right cylinder with largest volume that can be inscribed in a sphere with…

A:

Q: An isosceles triangle of maximum area is inscribed in an ellipse with major axis 10cm and minor axis…

A: An isosceles triangle of maximum area is inscribed in an ellipse with major axis 10cm andminor axis…

Q: A Norman window has the shape of a rectangle surmounted by a semicircle of diameter equal to the…

A: Draw the rough diagram as shown below. From the above figure, it is observed that, Perimeter…

Q: Find the volume of a solid whose base is the area enclosed by the given circle, cross sections taken…

A: Given,            x2+y2=9

Q: A rectangle is to be inscribed in a semicircle of radius 2. What is the largest area the rectangle…

A:

Q: 6. What is the largest possible area of a rectangle inscribed in the region bounded by the parabola…

A:

Q: 8. A rectangular dog pen is being built against the side of a house using 96 ft of fencing for the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A pyramid 3 m high has a square base that is 3 m on a side. The cross-section of the pyra- mid…

A:

Q: A farmer wants to fence in a rectangular field for sheep. The boundary for one side of the field is…

A:

Q: 11. Find the dimensions of the rectangle with maximum area that can be inscribed in a semi - circle…

A:

Q: 2. A closed cardboard box is a cuboid with base of 63cm by 25cm. The box is 30cm height,calculate…

A: A closed cardboard box is a cuboid with base of 63cm by 25cm. The box is 30cm height, calculate the…

Q: A headlight is frequently designed so that the cross-section through its axis is a parabola, having…

A:

Q: A ring is generated by rotating the quarter-circular area about the x-axis. determine its volume if…

A: To find the volume of the solid generated by rotating the quarter-circular area about the x-axis.

Q: : A cuboid has a square base of side (2 - V3 ) m and a volume of (2/3 – 3 m³. Find the height of the…

A:

Q: 1. A rectangle is inscribed inside an equilateral triangle of each side a units, where base of the…

A:

Q: 10. Consider a rectangle of perimeter 12 m. Form a cylinder by revolving this rectangle about one of…

A: It is given that the perimeter of the rectangle is12=2r+2hSo that2h=12-2randh=6-r

Q: A rectangular lot is to be enclosed with a fence. A building is on one side of the lot, so it won't…

A: Length of fencing material available = perimeter of rectangular lot = 600ft.  Let the length be l…

Q: 2) The diagram shows a square with cross-section x units by x units, and 9- 2x units. Find maximum…

A: From the given diagram; The expression for the volume of the given prism is:…

Q: 12 A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y What…

A:

Q: A Ferris Wheel is being built at the park. The Ferris wheel is elevated 1 meter off the ground. Its…

A: Solution is given below:

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y the…

A:

Q: 1. A box with a square base is to have an open top. The area of the material for making the box is…

A:

Q: A rectangular lot is to be enclosed with a fence. A building is on one side of the lot, so it won't…

A:

Q: 8. Percé Rock is located at the eastern tip of Quebec's Gaspé Peninsula. Make a table of values of…

A: consider the figure as follows  mark the points as follows  and consider the approximate values

Q: A rectangular garden is to be fenced off along the side of a building. No fence is required along…

A:

Q: 7. Find the area bounded by a parabola and any right chord. (Use the parabola = 4az, chord z= 21.)…

A: Given: To find the area bounded by a parabola Formula used: The area under the curve y=f(x) from…

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A:

Q: An open box is to be made out of a 6-inch by 20-inch piece of cardboard by cutting out squares of…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: right triangle whose hypotenuse is V3 m long is revolved about one of its legs to generate a right…

A:

Q: A rectangular lot is to be enclosed with a fence. A building is on one side of the lot, so it won't…

A:

Q: A rectangle has one side on the x-axis and two corners on the top half of the circle of radius 1…

A:

Q: 2 Fencing A farmer with 400 feet of fencing wishes to con- struct a rectangular pasture with maximum…

A: Given that perimeter of a rectangular posture is 400 ft. So, 2X + 2y = 400 We have find the…

Q: Ram a farmer, managed to grow shaped-watermelons inside glass cases of different shapes. The shapes…

A: For a given surface area, the volume contained increases with increases symmetry of the object for…

Q: A right triangle whose hypotenuse is v11 m long is revolved about one of its legs to generate a…

A:

Q: An open box is to be made out of a 12-inch by 14-inch piece of cardboard by cutting out squares of…

A:

Q: 9. If 1200 square centimeters of material is available to make a box with a square base and an open…

A: Use second derivative test

Q: 1.A rectangle cuboid 9 cm long and 7 cm widegiven that the volume of the cuboid is 315 cm3. Find (a)…

A:

Q: Solve the problem. Determine the dimensions of the rectangle of largest area that can be inscribed…

A: From the figure:Let 2x be the length of the rectangle;Hence,using Pythagoras theorem;width2+2x22…