Sandy builds this shape of four
congruent triangles using clay and toothpicks. the area of each triangle is
17.6 cm², and the height of the shape is 5.2 cm. what three-dimensional
figure does the shape sandy built resemble? if this were a solid shape,
what would be its volume? round your answer to the nearest tenth.

Triangular Pyramid

30.5 cm^3 (cubic centimeters)

Step-by-step explanation:

a shape made up of four triangles is a triangular pyramid.  

Volume of any pyramid is (1/3)*Area of the base*height.

area of the base, or any face, is 17.6 as said in the question, now the height.  is 5.2 so we can solve then.  

V = 1/3 * 17.6 * 5.2 = 30.5

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."