What is the surface area of a box whose length is 8, width is 3, and height is 4? This box has 6 faces: two rectangular faces are 8 by 4, two rectangular faces are 4 by 3, and two rectangular faces are 8 by 3. The surface area of a space figure is the total area of all the faces of the figure. The volume of a box is the product of its length, width, and height, which is 4 × 5 × 6 = 120 cubic cm. What is the volume of a box whose length is 4cm, width is 5 cm, and height is 6 cm? The volume of a cube is the cube of its side-length, which is 6 3 = 216 cubic cm. What is the volume of a cube with side-length 6 cm? The volume of a box is the product of its length, width, and height. The volume of a cube is the cube of the length of one of its sides. Volume is used to measure a space figure just as area is used to measure a plane figure. Volume is a measure of how much space a space figure takes up.
The triangle on the right is a cross-section of the cube on the left. The circle on the right is a cross-section of the cylinder on the left. A cube and a pyramid are both polyhedrons a sphere, cylinder, and cone are not.Ī cross-section of a space figure is the shape of a particular two-dimensional "slice" of a space figure.
A space figure having all flat faces is called a polyhedron. Some common simple space figures include cubes, spheres, cylinders, prisms, cones, and pyramids. Everyday objects such as a tennis ball, a box, a bicycle, and a redwood tree are all examples of space figures. A space figure or three-dimensional figure is a figure that has depth in addition to width and height.
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