Geometry Answers

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.

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).

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?

A classroom is 38 ft long, 24 ft wide and 10ft high. Determine the volume and surface area.

How many square inches of a material is needed to create an open top rectangular solid whose volume is 54 cubic inches? Assume that the length and width are of the same measurement and that the height is twice the length.

Find the distance, in inches, between two vertices of a cube that are farthest from each other if an edge measures 10 inches.

Find the approximate change in the volume of a rectangular solid caused by increasing side by 5%

An edge of ice measures 20 inches. The ice melts until it weighs half as the original size. Find the dimensions of the new ice cube.

7 Evaluate
∫2−1y2+y−2dy
∫−12y2+y−2dy

716
716

316
316

1716
1716

516
516
8 Integrate with respect to x :
∫2−1x2(x3+4)2dx
∫−12x2(x3+4)2dx
12

12
12
6

512
512

Which term describes the point where the three medians of a triangle intersect?