triangul prism (ike Tobi equilateral triangles as bases and is used to contain a sample of antimater, If the top and bottom bases are made of Platinum (Platinum Price Per 1 Gram: 30 USD, sheet manufacturing cost per gram: 5 USD, density: 21 g/cm³), and the sides are made of newly discovered precious metal adamantium (Price Per 1 Gram: 50 USD, sheet manufacturing cost per gram: 10 USD, density: 50 g/cm³), Calculate the volume of the largest prism that can be made for PhP 1 Million Pesos. The thickness of sheets to manufacture the prism is 1 mm, and 1 USD=55 PhP. Assume the thickness of the metal is negligible in comparison to the dimension of the prism.

triangul prism (ike Tobi equilateral triangles as bases and is used to contain a sample of antimater, If the top and bottom bases are made of Platinum (Platinum Price Per 1 Gram: 30 USD, sheet manufacturing cost per gram: 5 USD, density: 21 g/cm³), and the sides are made of newly discovered precious metal adamantium (Price Per 1 Gram: 50 USD, sheet manufacturing cost per gram: 10 USD, density: 50 g/cm³), Calculate the volume of the largest prism that can be made for PhP 1 Million Pesos. The thickness of sheets to manufacture the prism is 1 mm, and 1 USD=55 PhP. Assume the thickness of the metal is negligible in comparison to the dimension of the prism.

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

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

See similar textbooks

Similar questions

The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
Determine the maximum and minimum permissible wall thickness of the steel sleeve shown in Figure 29-15.All dimensions are in millimeters.
8. A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of thesurface area of the larger cube to that of the sum of the surface areas of the smallercubes?
A cube has an edge of length 30. A rectangular solid has edge of lengths 20, 30 and L. If the cube and the rectangular solid have equal surface areas, what is the value of L?
A large cube is formed from the material obtained by melting three smallercubes of 3, 2, and 1 cm sides. What is the ratio of the total surface areas of the smaller cubes and the large cube?
A large cube is formed from the material obtained by melting three smallercubes of 3, 2 and 1 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
The factory director wants to increase the volume of coconut water sold percontainer.State whether or not they should replace the cone-shaped containers withcylinder‐shaped containers. Justify your conclusion.
1. The volume of the closed cylindrical tank is 11.3 m³. If the total surface area is a minimum, what is its base radius?
1. Which has a bigger volume, a sphere with radius 2 meters or a pyramid with base 2.5meters and height of 10 meter?2. Calculate the volume of a water cylinder with total height of 10 meters and whosediameter is 400 centimeters, whose top section is a semi-sphere.3. Calculate the volume of a cylinder where:a) the area of the base is 30 cm 2 and the height is 6 cm.b) the radius of the base is 14 cm and the height is 10 cm.4. Given the internal radius of the pipe is 2 cm, the external radius is 2.4 cm and thelength of the pipe is 10 cm. Find the volume of the metal used.5. The surface area of a sphere is 5024 square meters. What is the volume of thesphere?6. A cone-shaped roof has a diameter of 12 ft. and a height of 8 ft. If roofing materialcomes in 120 square-foot rolls, how many rolls will be needed to cover this roof?7. The ratio between the curved surface area and the total surface area of a rightcircular cylinder is 1 : 2. If the total surface area is 616cm2, then find the volume…
Given that a right circular cylinder is inscribed within a sphere, what is the least possible volume (in cubic units) of the cylinder?
2. If a cylinder is known to have a volume 25% greater than that of a sphere with an area of 576π in2, how much is the volume of the cylinder?
8.Show that the rectangular box of maximum volume with a given surface area is a cube