📐 geometry

1. **Problem:** Calculate the area of a right triangle with base 30 cm and height 16 cm. Formula: Area = \frac{1}{2} \times \text{base} \times \text{height}

1. **State the problem:** We need to find the volume of a rectangular-based pyramid with base length 8 cm, base width 5 cm, and height 27 cm. 2. **Formula for volume of a pyramid:*

1. **State the problem:** We need to find the volume of a rectangular-based pyramid with height $27$ cm, base length $5$ cm, and base width $8$ cm. 2. **Formula:** The volume $V$ o

1. **State the problem:** We need to find the radius of a cylinder given its height and volume. 2. **Recall the formula for the volume of a cylinder:**

1. **Stating the problem:** We want to calculate the surface area of a prism. 2. **Formula and explanation:** The surface area $SA$ of a prism is the sum of the areas of all its fa

1. **State the problem:** We have a mobile login screen layout composed of geometric shapes with given vertices. We need to apply two transformations: a translation 2 units right a

1. Let's start by understanding the problem: we want to find the surface area of 3-dimensional shapes. 2. Surface area is the total area of all the outer surfaces of a 3D object.

1. The problem is to find the value of angle $x$ in a triangle where the angles are $x$, $2x$, and $y=38^\circ$. 2. Recall the triangle angle sum rule: the sum of interior angles i

1. The problem is to find the value of angle $x$ in a triangle where one angle is $y=38^\circ$, another angle is $2x$, and the third angle is $x$.\n\n2. Recall the triangle angle s

1. The problem involves finding the side length and area of the smaller square inscribed inside a larger square with side length 10 cm (since 100 cm² = 10²). 2. The smaller square

1. The problem is to find the side length and area of the inner square formed by connecting the midpoints of the sides of a larger square with side length $10$ cm. 2. The larger sq

1. Við erum gefin að hringgeiri sé 87% af flatarmáli hringsins. 2. Flatarmál hrings er gefið með formúlunni $$A = \pi r^2$$.

1. Staðfesta vandamálið: Gefinn er ferningur með hliðarlengd $x = 20$ cm. 2. Innri ferningur er teiknaður með hornpunkta á miðpunktum hliða stærri ferningsins.

1. Við byrjum á að skilja vandamálið: Við höfum stærri fernings með hliðarlengd $x = 10$ cm og innri fernings sem er snúinn 45 gráður og hornpunktar hans eru miðpunktar hliða stærr

1. **State the problem:** We are given a triangle with angles labeled as $x^\circ$, $2x^\circ$, and $y^\circ = 72^\circ$. We also know an adjacent angle outside the triangle is $58

1. **State the problem:** We are given a triangle with one angle measuring 85° and another angle labeled as $m$. We need to find the size of angle $m$. 2. **Recall the triangle ang

1. **Problem statement:** We are given a figure with seven angles formed by intersecting lines. The known angles are 13°, 24°, and 15°, and we need to find the size of angle $m$. 2

1. **State the problem:** We have three angles around a point. Two angles are given as 113° and 51°. We need to find the third angle and classify it.

1. **State the problem:** We need to find the size of angle $m$ in a figure where six rays extend from a central point, creating six angles around that point. 2. **Recall the rule:

1. **Stating the problem:** We need to find the size of angle $t$ in a diagram where angles $16^\circ$, $27^\circ$, and $17^\circ$ are adjacent and $t$ is the angle opposite their

1. **Problem statement:** We need to find the size of angle $t$ given the other angles around a point: $16^\circ$, $27^\circ$, and $17^\circ$. 2. **Formula and rule:** The sum of a