![]() ![]() ![]() V = pi x r2 x h V = 3.14 x 45cm^2 x 110cm V = 7.0 x 10^5 cm3 or 0.7m3 (This tells me the answer is actually in m3 not cm3) Since we know the relationship of radius to diameter we can substitute diameter into the volume formula and we could use all the number directly from the question. The answer is in cubic cm, so we will transform h to cm, h = 110 cm. This formula can be easily derived by using the Pythagorean theorem. The formula asks for radius so divide by 2, therefore r = 45cm. To determine the volume of a rectangular prism when you know the diagonals of its three faces, you need to apply the formula: volume 1/8 × (a² - b² + c²) (a² + b² - c²) (-a² + b² + c²), where a, b, and c are the diagonals youre given. area length (a + b + c) + (2 basearea), where a, b, c are sides of the triangle and basearea is the triangular base area. Volume of cube = l x w x h = 9cm x 4cm x 3cm = 108cm3 Volume of prism = 1/2(l x w x h) = 1/2((7cm - 4cm) x 9cm x 3cm = 40.5cm3 Sum both volumes = 108cm3 + 40.5cm3 = 148.5cm3 Cylinder Problem Volume of a cylinder = pi x r2 x h In the picture the diameter is 90 cm (what you refer to as constant are of cross section), this is really the longest length across the top of the cylinder. The two most basic equations are: volume 0.5 b h length, where b is the length of the base of the triangle, h is the height of the triangle, and length is prism length. ![]() Trapezoidal Prism Problem Split the shape into two parts (1 cube with dimensions of 3cm x 9cm x 4cm and one prism with dimensions of 3cm x 3cm x 9cm). ![]()
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |