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Geometry
Two posts, one 8 feet high and the other 12 feet high, stand 15 feet apart. They are to be stayed by wires attached to a single stake at ground level, the wires running to the top of the posts. Where the stake should be placed, to use the least amount of wire?
Geometry
A manufacturer makes aluminum cups of a given volume (16 cubic inches) in the form of right circular cylinders open at the top. Find the dimensions which use the least material.
Geometry
Find the dimensions of the largest circle that can be inscribed in a square of 12 inches.
Geometry
A right triangle has hypotenuse of length 13 and one leg of length 5. Find the dimensions of the rectangle of largest area which has one side along the hypotenuse and the ends of the opposite side on the legs of this triangle?
Geometry
A box with square base is to have an open top. The area of the material in the box is to be 100 in square. What should the dimensions be in order to make the volume as large as possible?
Geometry
Exercise: An ant lives on the surface of a cube with edges of length 7cm. It is currently
located on an edge x cm from one of its ends. While traveling on the surface of the cube,
it has to reach the grain located on the opposite edge (also at a distance xcm from one
of its ends) as shown below.
(i) What is the length of the shortest route to the grain if x = 2cm? How many routes of
this length are there?
(ii) Find an x for which there are four distinct shortest length routes to the grain.
located on an edge x cm from one of its ends. While traveling on the surface of the cube,
it has to reach the grain located on the opposite edge (also at a distance xcm from one
of its ends) as shown below.
(i) What is the length of the shortest route to the grain if x = 2cm? How many routes of
this length are there?
(ii) Find an x for which there are four distinct shortest length routes to the grain.
Geometry
Pada persegi ABCD, E dan F adalah titik-titik tengah AB dan CD. Garis AF dan CE memotong diagonal BD masing-masing di P dan Q. Buktikan 3PQ= BD.
In the square ABCD, E and F are midpoints of AB and CD respectively. Lines AF and CE meet diagonal BD in points P and Q respectively. Prove that 3PQ=BD.
In the square ABCD, E and F are midpoints of AB and CD respectively. Lines AF and CE meet diagonal BD in points P and Q respectively. Prove that 3PQ=BD.
Geometry
Calculate the volume of the tetrahedron whose vertices are the points A = (3, 2, 1),
B = (1, 2, 4), C = (4, 0, 3) and D = (1, 1, 7).
B = (1, 2, 4), C = (4, 0, 3) and D = (1, 1, 7).
Geometry
A zoo has a circular pool for its seals. The diameter of the pool is 32 feet.How much fence is needed to enclose the pool?
Geometry
A classroom is 38 ft long, 24 ft wide and 10ft high. Determine the volume and surface area.
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#339914 on Dec 2023
#339914 on Dec 2023