Geometry Answers

The daycare has two sandboxes that are both prisms with regular hexagons as bases. The smaller sandbox has a base area of 1,146 inches square and is filled 10 inches deep with sand. If it took 14 bags to fill up the sandbox 10 inches, what volume of sand comes in one bag?

In a Triangle AB=AC, <BAC=120°. D is the middle point of BC. O circle is drawn inside the triangle which touches AD,CD,& AC. If OA=4(meter) What's the radius of the circle???

ABCD is a quadrilateral with AB equal and parallel to DC.prove that AD is equal and parallel to BC

Find the coordinates of point P along directed line segment AB with A(-4,8) and B(16,-2), so that the ratio of AP to PB is 3 to 2

The diagonals of the plane quadrilateral ABDC intersect at O and X,Y are the midpoints of the diagonals AB and BD respectively.show that BA+BC=2BX
and BA+BC+DA+DC=4YX

If ABCD is a parallelogram,prove that the opposite sides are equal and the diagonals bisect each other using the position vectors of ABCD.

The volume of rectangular solid is 810 cm^3. Find it's dimension of they are in the ratio of 2:3:5.

OABC is a tetrahedron andOA=a,OB=b and OC=c. The points P and Q are such that OA=AP and 2OB=BQ. The point M is the midpoint of PQ. Find (i) AB, (ii) PQ, (iii) CQ, (iv) QM, (v) MB and (vi) OM in terms of a, b and c.

In a parallelogram ABCD, P divides AB in the ratio 2:5 and Q divides DC in the ratio 3:2. If AC and PQ intersect at R. Find the ratio AR:RC and PR:RQ.

ABCD is a plane quadrilateral and E is any point on AD. EF is drawn parallel to DB to meet AB in F and EG is drawn parallel to DC to meet AC in G. Prove that FG is parallel to BC.